What is the minimum value of \(({ a }^{ 3 }{ c }^{ 2 }+{ a }^{ 2 }{ b }^{ 3 }+{ b }^{ 2 }{ c }^{ 3 })({ b }^{ 3 }c+a{ c }^{ 3 }+{ a }^{ 3 }b)\) if the value of \({ a }^{ 3 }{ b }^{ 3 }{ c }^{ 3 }=27\) and given that they all are positive real numbers.

You can find a similar question or rather a prequel to this problem 145 followers problem #1

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