Finding the Third Proportional to 288,414,359,552 and 423,981,902,947.50
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Solution
The third proportional to 288,414,359,552 and 423,981,902,947.50 is: 623,272,205,677.31
Step by Step Solution
- Step 1: Write the proportion equation
288,414,359,552 : 423,981,902,947.50 = 423,981,902,947.50 : x - Step 2: Convert to fraction form
288,414,359,552/423,981,902,947.50 = 423,981,902,947.50/x - Step 3: Cross multiply
288,414,359,552x = 423,981,902,947.50 × 423,981,902,947.50 - Step 4: Simplify right side
288,414,359,552x = 179,760,654,026,983,302,234,112 - Step 5: Solve for x
x = 179,760,654,026,983,302,234,112/288,414,359,552 - Step 6: Final answer
x = 623,272,205,677.31
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.