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Finding the Third Proportional to 33,957,872 and 73,293,448

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Solution

The third proportional to 33,957,872 and 73,293,448 is: 158,193,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,957,872 : 73,293,448 = 73,293,448 : x
  2. Step 2: Convert to fraction form
    33,957,872/73,293,448 = 73,293,448/x
  3. Step 3: Cross multiply
    33,957,872x = 73,293,448 × 73,293,448
  4. Step 4: Simplify right side
    33,957,872x = 5,371,929,519,728,704
  5. Step 5: Solve for x
    x = 5,371,929,519,728,704/33,957,872
  6. Step 6: Final answer
    x = 158,193,938.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.