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Finding the Third Proportional to 22,951,996 and 48,494,599

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Solution

The third proportional to 22,951,996 and 48,494,599 is: 102,462,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951,996 : 48,494,599 = 48,494,599 : x
  2. Step 2: Convert to fraction form
    22,951,996/48,494,599 = 48,494,599/x
  3. Step 3: Cross multiply
    22,951,996x = 48,494,599 × 48,494,599
  4. Step 4: Simplify right side
    22,951,996x = 2,351,726,132,170,801
  5. Step 5: Solve for x
    x = 2,351,726,132,170,801/22,951,996
  6. Step 6: Final answer
    x = 102,462,815.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.