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Finding the Third Proportional to 7,729,600 and 16,791,080

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Solution

The third proportional to 7,729,600 and 16,791,080 is: 36,475,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729,600 : 16,791,080 = 16,791,080 : x
  2. Step 2: Convert to fraction form
    7,729,600/16,791,080 = 16,791,080/x
  3. Step 3: Cross multiply
    7,729,600x = 16,791,080 × 16,791,080
  4. Step 4: Simplify right side
    7,729,600x = 281,940,367,566,400
  5. Step 5: Solve for x
    x = 281,940,367,566,400/7,729,600
  6. Step 6: Final answer
    x = 36,475,414.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.