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Finding the Third Proportional to 33,542,138.60 and 70,951,640.71

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Solution

The third proportional to 33,542,138.60 and 70,951,640.71 is: 150,083,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542,138.60 : 70,951,640.71 = 70,951,640.71 : x
  2. Step 2: Convert to fraction form
    33,542,138.60/70,951,640.71 = 70,951,640.71/x
  3. Step 3: Cross multiply
    33,542,138.60x = 70,951,640.71 × 70,951,640.71
  4. Step 4: Simplify right side
    33,542,138.60x = 5,034,135,319,851,313
  5. Step 5: Solve for x
    x = 5,034,135,319,851,313/33,542,138.60
  6. Step 6: Final answer
    x = 150,083,910.26

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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.