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Finding the Third Proportional to 41,597,229.80 and 64,914,064.14

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Solution

The third proportional to 41,597,229.80 and 64,914,064.14 is: 101,300,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,597,229.80 : 64,914,064.14 = 64,914,064.14 : x
  2. Step 2: Convert to fraction form
    41,597,229.80/64,914,064.14 = 64,914,064.14/x
  3. Step 3: Cross multiply
    41,597,229.80x = 64,914,064.14 × 64,914,064.14
  4. Step 4: Simplify right side
    41,597,229.80x = 4,213,835,722,745,937.50
  5. Step 5: Solve for x
    x = 4,213,835,722,745,937.50/41,597,229.80
  6. Step 6: Final answer
    x = 101,300,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.