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Finding the Third Proportional to 13,693,627.13 and 20,497,794.19

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Solution

The third proportional to 13,693,627.13 and 20,497,794.19 is: 30,682,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693,627.13 : 20,497,794.19 = 20,497,794.19 : x
  2. Step 2: Convert to fraction form
    13,693,627.13/20,497,794.19 = 20,497,794.19/x
  3. Step 3: Cross multiply
    13,693,627.13x = 20,497,794.19 × 20,497,794.19
  4. Step 4: Simplify right side
    13,693,627.13x = 420,159,566,553,108.81
  5. Step 5: Solve for x
    x = 420,159,566,553,108.81/13,693,627.13
  6. Step 6: Final answer
    x = 30,682,854.35

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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.