Finding the Third Proportional to 42,514,059,314 and 91,337,341,882
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Solution
The third proportional to 42,514,059,314 and 91,337,341,882 is: 196,229,439,312.14
Step by Step Solution
- Step 1: Write the proportion equation
42,514,059,314 : 91,337,341,882 = 91,337,341,882 : x - Step 2: Convert to fraction form
42,514,059,314/91,337,341,882 = 91,337,341,882/x - Step 3: Cross multiply
42,514,059,314x = 91,337,341,882 × 91,337,341,882 - Step 4: Simplify right side
42,514,059,314x = 8,342,510,022,069,351,088,128 - Step 5: Solve for x
x = 8,342,510,022,069,351,088,128/42,514,059,314 - Step 6: Final answer
x = 196,229,439,312.14
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.