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Sources close to the rapper tell TMZ … Ross will lose between $3.5 million and $5 million … he was getting a check each time he wore the shoes.

TMZ broke the story … Reebok dumped Ross for releasing the song U.O.E.N.O., which includes the lyric: “Put Molly [Ecstasy] all in the champagne. She ain’t even know it. I took her home and I enjoy that. She ain’t even know it.”

Ross issued a tepid apology … suggesting the lyrics were actually misinterpreted. He also pulled the song — which was only on a mixtape.

But that wasn’t enough for Reebok, which was taking heat from women’s groups for keeping Ross in its stable of spokespeople.

Ross is telling people he was entitled to corporate forgiveness because he did so much for the brand … bringing classic Reeboks back in style in the hip-hop community.

But Reebok was unmoved, saying, “We are very disappointed he has yet to display an understanding of the seriousness of this issue or an appropriate level of remorse.”

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