Finding the Third Proportional to 24,375,734,364 and 34,326,405,413
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Solution
The third proportional to 24,375,734,364 and 34,326,405,413 is: 48,339,142,976.46
Step by Step Solution
- Step 1: Write the proportion equation
24,375,734,364 : 34,326,405,413 = 34,326,405,413 : x - Step 2: Convert to fraction form
24,375,734,364/34,326,405,413 = 34,326,405,413/x - Step 3: Cross multiply
24,375,734,364x = 34,326,405,413 × 34,326,405,413 - Step 4: Simplify right side
24,375,734,364x = 1,178,302,108,577,635,762,176 - Step 5: Solve for x
x = 1,178,302,108,577,635,762,176/24,375,734,364 - Step 6: Final answer
x = 48,339,142,976.46
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.