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Finding the Third Proportional to 12,797,731.69 and 18,108,402.19

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Solution

The third proportional to 12,797,731.69 and 18,108,402.19 is: 25,622,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,797,731.69 : 18,108,402.19 = 18,108,402.19 : x
  2. Step 2: Convert to fraction form
    12,797,731.69/18,108,402.19 = 18,108,402.19/x
  3. Step 3: Cross multiply
    12,797,731.69x = 18,108,402.19 × 18,108,402.19
  4. Step 4: Simplify right side
    12,797,731.69x = 327,914,229,784,254.81
  5. Step 5: Solve for x
    x = 327,914,229,784,254.81/12,797,731.69
  6. Step 6: Final answer
    x = 25,622,839.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.