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Finding the Third Proportional to 13,142,016 and 19,659,552

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Solution

The third proportional to 13,142,016 and 19,659,552 is: 29,409,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142,016 : 19,659,552 = 19,659,552 : x
  2. Step 2: Convert to fraction form
    13,142,016/19,659,552 = 19,659,552/x
  3. Step 3: Cross multiply
    13,142,016x = 19,659,552 × 19,659,552
  4. Step 4: Simplify right side
    13,142,016x = 386,497,984,840,704
  5. Step 5: Solve for x
    x = 386,497,984,840,704/13,142,016
  6. Step 6: Final answer
    x = 29,409,337.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.