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Finding the Third Proportional to 16,462,500.75 and 24,454,958.06

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Solution

The third proportional to 16,462,500.75 and 24,454,958.06 is: 36,327,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462,500.75 : 24,454,958.06 = 24,454,958.06 : x
  2. Step 2: Convert to fraction form
    16,462,500.75/24,454,958.06 = 24,454,958.06/x
  3. Step 3: Cross multiply
    16,462,500.75x = 24,454,958.06 × 24,454,958.06
  4. Step 4: Simplify right side
    16,462,500.75x = 598,044,973,838,633.75
  5. Step 5: Solve for x
    x = 598,044,973,838,633.75/16,462,500.75
  6. Step 6: Final answer
    x = 36,327,711.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.