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Let a,b,c,d,ea,b,c,d,ea,b,c,d,e be positive integers such that they form an arithmetic progression. If a+b+c+d+ea+b+c+d+ea+b+c+d+e is a perfect cube and b+c+db+c+db+c+d is a perfect square, find the minimum possible value of c.c.c.
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