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Finding the Third Proportional to 42,872,617 and 91,275,626

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Solution

The third proportional to 42,872,617 and 91,275,626 is: 194,325,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,872,617 : 91,275,626 = 91,275,626 : x
  2. Step 2: Convert to fraction form
    42,872,617/91,275,626 = 91,275,626/x
  3. Step 3: Cross multiply
    42,872,617x = 91,275,626 × 91,275,626
  4. Step 4: Simplify right side
    42,872,617x = 8,331,239,901,691,876
  5. Step 5: Solve for x
    x = 8,331,239,901,691,876/42,872,617
  6. Step 6: Final answer
    x = 194,325,433.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.