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If $3^{a}=4,4^{b}=5,5^{c}=6,6^{d}=7,7^{e}=8$ and $8^{f}=9$, then the value of the product $\mathrm{abcdef}$ is
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The midpoints of sides $\mathrm{AB}$, $\mathrm{BC}$, and $\mathrm{AC}$ in $\triangle \: \mathrm{ABC}$ are $\mathrm{M}, \mathrm{N}$, and $\mathrm{P}$, respectively. The me...