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Finding the Third Proportional to 17,632,193 and 27,234,374

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Solution

The third proportional to 17,632,193 and 27,234,374 is: 42,065,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632,193 : 27,234,374 = 27,234,374 : x
  2. Step 2: Convert to fraction form
    17,632,193/27,234,374 = 27,234,374/x
  3. Step 3: Cross multiply
    17,632,193x = 27,234,374 × 27,234,374
  4. Step 4: Simplify right side
    17,632,193x = 741,711,127,171,876
  5. Step 5: Solve for x
    x = 741,711,127,171,876/17,632,193
  6. Step 6: Final answer
    x = 42,065,733.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.