Let $f\left(x\right)andg\left(x\right)$ be differentiable for $0\le x\le 2$ such that $f\left(0\right)=2,g\left(0\right)=1,andf\left(2\right)=8.$ Let there exist a real number $c$ in $\left[0,2\right]$ such that $f^{prime}\left(c\right)=3g^{prime}\left(c\right)\dot{}$ Then find the value of $g\left(2\right)\dot{}$

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