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Finding the Third Proportional to 3,220,524.56 and 6,945,463.97

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Solution

The third proportional to 3,220,524.56 and 6,945,463.97 is: 14,978,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,524.56 : 6,945,463.97 = 6,945,463.97 : x
  2. Step 2: Convert to fraction form
    3,220,524.56/6,945,463.97 = 6,945,463.97/x
  3. Step 3: Cross multiply
    3,220,524.56x = 6,945,463.97 × 6,945,463.97
  4. Step 4: Simplify right side
    3,220,524.56x = 48,239,469,741,204.50
  5. Step 5: Solve for x
    x = 48,239,469,741,204.50/3,220,524.56
  6. Step 6: Final answer
    x = 14,978,761.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.