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Finding the Third Proportional to 195,530,744 and 424,691,761

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Solution

The third proportional to 195,530,744 and 424,691,761 is: 922,428,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,530,744 : 424,691,761 = 424,691,761 : x
  2. Step 2: Convert to fraction form
    195,530,744/424,691,761 = 424,691,761/x
  3. Step 3: Cross multiply
    195,530,744x = 424,691,761 × 424,691,761
  4. Step 4: Simplify right side
    195,530,744x = 180,363,091,861,281,120
  5. Step 5: Solve for x
    x = 180,363,091,861,281,120/195,530,744
  6. Step 6: Final answer
    x = 922,428,300.39

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Why These Related Problems?

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