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Finding the Third Proportional to 33,442,924 and 73,462,432

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Solution

The third proportional to 33,442,924 and 73,462,432 is: 161,371,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,442,924 : 73,462,432 = 73,462,432 : x
  2. Step 2: Convert to fraction form
    33,442,924/73,462,432 = 73,462,432/x
  3. Step 3: Cross multiply
    33,442,924x = 73,462,432 × 73,462,432
  4. Step 4: Simplify right side
    33,442,924x = 5,396,728,915,354,624
  5. Step 5: Solve for x
    x = 5,396,728,915,354,624/33,442,924
  6. Step 6: Final answer
    x = 161,371,323.73

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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.