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Finding the Third Proportional to 636,046,578 and 1,374,217,092

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Solution

The third proportional to 636,046,578 and 1,374,217,092 is: 2,969,079,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,046,578 : 1,374,217,092 = 1,374,217,092 : x
  2. Step 2: Convert to fraction form
    636,046,578/1,374,217,092 = 1,374,217,092/x
  3. Step 3: Cross multiply
    636,046,578x = 1,374,217,092 × 1,374,217,092
  4. Step 4: Simplify right side
    636,046,578x = 1,888,472,615,944,936,448
  5. Step 5: Solve for x
    x = 1,888,472,615,944,936,448/636,046,578
  6. Step 6: Final answer
    x = 2,969,079,122.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.