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The boxing legend has reached out to the family and offered to pay for three funeral services in Houston, Charlotte and Minnesota, as well as a possible fourth service in another location.
The 46-year-old black man died on Monday (25 May) after he was arrested in Minnesota, USA, for alleged fraud, with harrowing footage showing him struggling to breathe as officer Derek Chauvin (now dismissed) knelt on his neck.
His death has since sparked riots in the streets of Minneapolis and marches across the world, with protesters demanding action be taken against the officers involved. Chauvin was charged with third-degree murder and manslaughter on Friday.
Hollywood Unlocked CEO Jason Lee said 43-year-old Mayweather shared his plans to help Mr Floyd's family in a private conversation.
He said: "I felt it was important to share this because his voice has a global impact that needs to be heard, especially during these times."
The former five-division world champion's promotional company, Mayweather Productions, subsequently confirmed the offer on Twitter.
Shock and horror swept across the world last week as clips widely circulated online showed Mr Floyd telling Chauvin he couldn't breathe and that he was in pain.
One on-looker could be heard saying: "Bro, he's not f***ing moving! Get off of his neck!"
The death of Mr Floyd sparked protests all over the world, with activists in London chanting 'I can't breathe!' at Trafalgar Square on Sunday.
Celebrities have also spoken out, with basketball legend Michael Jordan sharing a statement on Sunday declaring 'we have had enough'.
He said: "I am deeply saddened, truly pained and plain angry. I stand with those who are calling out the ingrained racism and violence toward people of colour in our country. We have had enough.
"I don't have answers, but our collective voices show strength and the inability to be divided by others. We must listen to each other, show compassion and empathy and never turn out backs on senseless brutality.
"We need to continue peaceful expressions against injustice and demand accountability.
"My heart goes out to the family of George Floyd and to the countless others whose lives have been brutally and senselessly taken through acts of racism and injustice."
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