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Finding the Third Proportional to 13,840,314.75 and 32,337,221.63

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Solution

The third proportional to 13,840,314.75 and 32,337,221.63 is: 75,554,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840,314.75 : 32,337,221.63 = 32,337,221.63 : x
  2. Step 2: Convert to fraction form
    13,840,314.75/32,337,221.63 = 32,337,221.63/x
  3. Step 3: Cross multiply
    13,840,314.75x = 32,337,221.63 × 32,337,221.63
  4. Step 4: Simplify right side
    13,840,314.75x = 1,045,695,902,424,367.62
  5. Step 5: Solve for x
    x = 1,045,695,902,424,367.62/13,840,314.75
  6. Step 6: Final answer
    x = 75,554,344.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.