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Finding the Third Proportional to 13,724,732 and 18,297,570

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Solution

The third proportional to 13,724,732 and 18,297,570 is: 24,393,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724,732 : 18,297,570 = 18,297,570 : x
  2. Step 2: Convert to fraction form
    13,724,732/18,297,570 = 18,297,570/x
  3. Step 3: Cross multiply
    13,724,732x = 18,297,570 × 18,297,570
  4. Step 4: Simplify right side
    13,724,732x = 334,801,067,904,900
  5. Step 5: Solve for x
    x = 334,801,067,904,900/13,724,732
  6. Step 6: Final answer
    x = 24,393,996.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.