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Finding the Third Proportional to 22,432,906.75 and 48,694,387.75

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Solution

The third proportional to 22,432,906.75 and 48,694,387.75 is: 105,699,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,906.75 : 48,694,387.75 = 48,694,387.75 : x
  2. Step 2: Convert to fraction form
    22,432,906.75/48,694,387.75 = 48,694,387.75/x
  3. Step 3: Cross multiply
    22,432,906.75x = 48,694,387.75 × 48,694,387.75
  4. Step 4: Simplify right side
    22,432,906.75x = 2,371,143,398,347,350
  5. Step 5: Solve for x
    x = 2,371,143,398,347,350/22,432,906.75
  6. Step 6: Final answer
    x = 105,699,338.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.