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Finding the Third Proportional to 539,609,552 and 1,161,060,864

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Solution

The third proportional to 539,609,552 and 1,161,060,864 is: 2,498,218,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,609,552 : 1,161,060,864 = 1,161,060,864 : x
  2. Step 2: Convert to fraction form
    539,609,552/1,161,060,864 = 1,161,060,864/x
  3. Step 3: Cross multiply
    539,609,552x = 1,161,060,864 × 1,161,060,864
  4. Step 4: Simplify right side
    539,609,552x = 1,348,062,329,912,426,496
  5. Step 5: Solve for x
    x = 1,348,062,329,912,426,496/539,609,552
  6. Step 6: Final answer
    x = 2,498,218,063.26

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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.