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Finding the Third Proportional to 33,542,142.75 and 70,951,650.75

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Solution

The third proportional to 33,542,142.75 and 70,951,650.75 is: 150,083,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542,142.75 : 70,951,650.75 = 70,951,650.75 : x
  2. Step 2: Convert to fraction form
    33,542,142.75/70,951,650.75 = 70,951,650.75/x
  3. Step 3: Cross multiply
    33,542,142.75x = 70,951,650.75 × 70,951,650.75
  4. Step 4: Simplify right side
    33,542,142.75x = 5,034,136,744,149,976
  5. Step 5: Solve for x
    x = 5,034,136,744,149,976/33,542,142.75
  6. Step 6: Final answer
    x = 150,083,934.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.