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Finding the Third Proportional to 8,385,750 and 17,967,424

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Solution

The third proportional to 8,385,750 and 17,967,424 is: 38,497,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,750 : 17,967,424 = 17,967,424 : x
  2. Step 2: Convert to fraction form
    8,385,750/17,967,424 = 17,967,424/x
  3. Step 3: Cross multiply
    8,385,750x = 17,967,424 × 17,967,424
  4. Step 4: Simplify right side
    8,385,750x = 322,828,325,195,776
  5. Step 5: Solve for x
    x = 322,828,325,195,776/8,385,750
  6. Step 6: Final answer
    x = 38,497,251.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.