At $\mathrm{T}(\mathrm{K})$, the equilibrium constant of $\mathrm{A}_2(g)+\mathrm{B}_2(g) \mathrm{f} \mathrm{C}(g)$ is $2.7 \times 10^{-5}$. What is the equilibrium constant for $\frac{1}{3} A_2(g)+\frac{1}{3} B_2(g) f \quad \frac{1}{3} C(g)$ at the same temperature?
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