8) \(\frac{5}{27} : \frac{14}{33} = \frac{55}{63} : c\)

8) Решим пропорцию: \(\frac{5}{27} : \frac{14}{33} = \frac{55}{63} : c\)

\(\frac{5}{27} \cdot \frac{33}{14} = \frac{55}{63} : c\)

\(\frac{5 \cdot 33}{27 \cdot 14} = \frac{55}{63} : c\)

\(\frac{5 \cdot 11}{9 \cdot 14} = \frac{55}{63} : c\)

\(\frac{55}{126} = \frac{55}{63} : c\)

По правилу пропорции:

\(\frac{55}{126} \cdot c = \frac{55}{63}\)

\(c = \frac{55}{63} : \frac{55}{126}\)

\(c = \frac{55}{63} \cdot \frac{126}{55}\)

\(c = \frac{55 \cdot 126}{63 \cdot 55}\)

\(c = \frac{126}{63}\)

\(c = 2\)

Ответ: 2