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Finding the Third Proportional to 8,491,137 and 17,940,674

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Solution

The third proportional to 8,491,137 and 17,940,674 is: 37,906,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491,137 : 17,940,674 = 17,940,674 : x
  2. Step 2: Convert to fraction form
    8,491,137/17,940,674 = 17,940,674/x
  3. Step 3: Cross multiply
    8,491,137x = 17,940,674 × 17,940,674
  4. Step 4: Simplify right side
    8,491,137x = 321,867,783,574,276
  5. Step 5: Solve for x
    x = 321,867,783,574,276/8,491,137
  6. Step 6: Final answer
    x = 37,906,323.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.