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Finding the Third Proportional to 14,657,857 and 32,206,374

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Solution

The third proportional to 14,657,857 and 32,206,374 is: 70,764,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657,857 : 32,206,374 = 32,206,374 : x
  2. Step 2: Convert to fraction form
    14,657,857/32,206,374 = 32,206,374/x
  3. Step 3: Cross multiply
    14,657,857x = 32,206,374 × 32,206,374
  4. Step 4: Simplify right side
    14,657,857x = 1,037,250,526,227,876
  5. Step 5: Solve for x
    x = 1,037,250,526,227,876/14,657,857
  6. Step 6: Final answer
    x = 70,764,131.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.