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Finding the Third Proportional to 12,541,098.38 and 18,327,738.38

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Solution

The third proportional to 12,541,098.38 and 18,327,738.38 is: 26,784,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541,098.38 : 18,327,738.38 = 18,327,738.38 : x
  2. Step 2: Convert to fraction form
    12,541,098.38/18,327,738.38 = 18,327,738.38/x
  3. Step 3: Cross multiply
    12,541,098.38x = 18,327,738.38 × 18,327,738.38
  4. Step 4: Simplify right side
    12,541,098.38x = 335,905,993,942,447.62
  5. Step 5: Solve for x
    x = 335,905,993,942,447.62/12,541,098.38
  6. Step 6: Final answer
    x = 26,784,415.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.