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Finding the Third Proportional to 49,814,814 and 109,436,622

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Solution

The third proportional to 49,814,814 and 109,436,622 is: 240,417,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,814 : 109,436,622 = 109,436,622 : x
  2. Step 2: Convert to fraction form
    49,814,814/109,436,622 = 109,436,622/x
  3. Step 3: Cross multiply
    49,814,814x = 109,436,622 × 109,436,622
  4. Step 4: Simplify right side
    49,814,814x = 11,976,374,234,770,884
  5. Step 5: Solve for x
    x = 11,976,374,234,770,884/49,814,814
  6. Step 6: Final answer
    x = 240,417,925.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.