$$ \begin{aligned} \frac{x}{9}\cdot\frac{11}{34} &= \frac{253}{306}&& \text{multiply ALL terms by } \color{blue}{ 306 }. \\[1 em]306 \cdot \frac{x}{9}\cdot\frac{11}{34} &= 306\cdot\frac{253}{306}&& \text{cancel out the denominators} \\[1 em]11x &= 253&& \text{ divide both sides by $ 11 $ } \\[1 em]x &= \frac{253}{11}&& \\[1 em]x &= 23&& \\[1 em] \end{aligned} $$

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