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Finding the Third Proportional to 14,493,753 and 31,591,674

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Solution

The third proportional to 14,493,753 and 31,591,674 is: 68,859,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493,753 : 31,591,674 = 31,591,674 : x
  2. Step 2: Convert to fraction form
    14,493,753/31,591,674 = 31,591,674/x
  3. Step 3: Cross multiply
    14,493,753x = 31,591,674 × 31,591,674
  4. Step 4: Simplify right side
    14,493,753x = 998,033,866,122,276
  5. Step 5: Solve for x
    x = 998,033,866,122,276/14,493,753
  6. Step 6: Final answer
    x = 68,859,588.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.