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Finding the Third Proportional to 49,454,414 and 75,650,311

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Solution

The third proportional to 49,454,414 and 75,650,311 is: 115,722,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,454,414 : 75,650,311 = 75,650,311 : x
  2. Step 2: Convert to fraction form
    49,454,414/75,650,311 = 75,650,311/x
  3. Step 3: Cross multiply
    49,454,414x = 75,650,311 × 75,650,311
  4. Step 4: Simplify right side
    49,454,414x = 5,722,969,554,396,721
  5. Step 5: Solve for x
    x = 5,722,969,554,396,721/49,454,414
  6. Step 6: Final answer
    x = 115,722,118.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.