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Finding the Third Proportional to 10,451,016 and 16,142,544

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Solution

The third proportional to 10,451,016 and 16,142,544 is: 24,933,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451,016 : 16,142,544 = 16,142,544 : x
  2. Step 2: Convert to fraction form
    10,451,016/16,142,544 = 16,142,544/x
  3. Step 3: Cross multiply
    10,451,016x = 16,142,544 × 16,142,544
  4. Step 4: Simplify right side
    10,451,016x = 260,581,726,791,936
  5. Step 5: Solve for x
    x = 260,581,726,791,936/10,451,016
  6. Step 6: Final answer
    x = 24,933,626.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.