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Finding the Third Proportional to 48,386,942 and 71,673,374

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Solution

The third proportional to 48,386,942 and 71,673,374 is: 106,166,505.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,386,942 : 71,673,374 = 71,673,374 : x
  2. Step 2: Convert to fraction form
    48,386,942/71,673,374 = 71,673,374/x
  3. Step 3: Cross multiply
    48,386,942x = 71,673,374 × 71,673,374
  4. Step 4: Simplify right side
    48,386,942x = 5,137,072,540,543,876
  5. Step 5: Solve for x
    x = 5,137,072,540,543,876/48,386,942
  6. Step 6: Final answer
    x = 106,166,505.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.