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Finding the Third Proportional to 10,258,099 and 22,218,469

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Solution

The third proportional to 10,258,099 and 22,218,469 is: 48,123,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,099 : 22,218,469 = 22,218,469 : x
  2. Step 2: Convert to fraction form
    10,258,099/22,218,469 = 22,218,469/x
  3. Step 3: Cross multiply
    10,258,099x = 22,218,469 × 22,218,469
  4. Step 4: Simplify right side
    10,258,099x = 493,660,364,703,961
  5. Step 5: Solve for x
    x = 493,660,364,703,961/10,258,099
  6. Step 6: Final answer
    x = 48,123,961.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.