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Finding the Third Proportional to 5,086,557,198 and 6,870,229,398

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Solution

The third proportional to 5,086,557,198 and 6,870,229,398 is: 9,279,371,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086,557,198 : 6,870,229,398 = 6,870,229,398 : x
  2. Step 2: Convert to fraction form
    5,086,557,198/6,870,229,398 = 6,870,229,398/x
  3. Step 3: Cross multiply
    5,086,557,198x = 6,870,229,398 × 6,870,229,398
  4. Step 4: Simplify right side
    5,086,557,198x = 47,200,051,981,143,441,408
  5. Step 5: Solve for x
    x = 47,200,051,981,143,441,408/5,086,557,198
  6. Step 6: Final answer
    x = 9,279,371,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.