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Finding the Third Proportional to 13,840,330 and 32,337,256

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Solution

The third proportional to 13,840,330 and 32,337,256 is: 75,554,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840,330 : 32,337,256 = 32,337,256 : x
  2. Step 2: Convert to fraction form
    13,840,330/32,337,256 = 32,337,256/x
  3. Step 3: Cross multiply
    13,840,330x = 32,337,256 × 32,337,256
  4. Step 4: Simplify right side
    13,840,330x = 1,045,698,125,609,536
  5. Step 5: Solve for x
    x = 1,045,698,125,609,536/13,840,330
  6. Step 6: Final answer
    x = 75,554,421.43

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