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Finding the Third Proportional to 47,857,671 and 104,377,077

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Solution

The third proportional to 47,857,671 and 104,377,077 is: 227,645,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,857,671 : 104,377,077 = 104,377,077 : x
  2. Step 2: Convert to fraction form
    47,857,671/104,377,077 = 104,377,077/x
  3. Step 3: Cross multiply
    47,857,671x = 104,377,077 × 104,377,077
  4. Step 4: Simplify right side
    47,857,671x = 10,894,574,203,063,928
  5. Step 5: Solve for x
    x = 10,894,574,203,063,928/47,857,671
  6. Step 6: Final answer
    x = 227,645,306.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.