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Finding the Third Proportional to 10,613,098 and 16,832,472

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Solution

The third proportional to 10,613,098 and 16,832,472 is: 26,696,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613,098 : 16,832,472 = 16,832,472 : x
  2. Step 2: Convert to fraction form
    10,613,098/16,832,472 = 16,832,472/x
  3. Step 3: Cross multiply
    10,613,098x = 16,832,472 × 16,832,472
  4. Step 4: Simplify right side
    10,613,098x = 283,332,113,630,784
  5. Step 5: Solve for x
    x = 283,332,113,630,784/10,613,098
  6. Step 6: Final answer
    x = 26,696,456.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.