Question solve: \( \frac{3}{c}=-\frac{9}{64} \)

To solve for \( c \), first cross-multiply: \( 3 \times 64 = -9 \times c \). This simplifies to \( 192 = -9c \). Next, divide both sides by -9 to isolate \( c \): \[ c = \frac{192}{-9} = -\frac{64}{3}. \] So, the solution is \( c = -\frac{64}{3} \). Now, how about some historical context? Proportions and ratios have been a fundamental aspect of mathematics since ancient civilizations. The Egyptians used them in trade and construction, while Greeks like Euclid formalized their study in geometry. In terms of practical applications, understanding fractions and ratios is crucial in real-world scenarios such as cooking, budgeting, and even coding! For example, if you’re adjusting a recipe or splitting a bill, knowing how to work with these concepts can save time and resources.