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Finding the Third Proportional to 12,394,174.50 and 18,591,261.75

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Solution

The third proportional to 12,394,174.50 and 18,591,261.75 is: 27,886,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394,174.50 : 18,591,261.75 = 18,591,261.75 : x
  2. Step 2: Convert to fraction form
    12,394,174.50/18,591,261.75 = 18,591,261.75/x
  3. Step 3: Cross multiply
    12,394,174.50x = 18,591,261.75 × 18,591,261.75
  4. Step 4: Simplify right side
    12,394,174.50x = 345,635,013,457,013.06
  5. Step 5: Solve for x
    x = 345,635,013,457,013.06/12,394,174.50
  6. Step 6: Final answer
    x = 27,886,892.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.