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Finding the Third Proportional to 709,701,456.38 and 1,553,192,364.38

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Solution

The third proportional to 709,701,456.38 and 1,553,192,364.38 is: 3,399,184,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,701,456.38 : 1,553,192,364.38 = 1,553,192,364.38 : x
  2. Step 2: Convert to fraction form
    709,701,456.38/1,553,192,364.38 = 1,553,192,364.38/x
  3. Step 3: Cross multiply
    709,701,456.38x = 1,553,192,364.38 × 1,553,192,364.38
  4. Step 4: Simplify right side
    709,701,456.38x = 2,412,406,520,752,802,816
  5. Step 5: Solve for x
    x = 2,412,406,520,752,802,816/709,701,456.38
  6. Step 6: Final answer
    x = 3,399,184,965.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.