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Finding the Third Proportional to 8,527,394 and 13,120,448

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Solution

The third proportional to 8,527,394 and 13,120,448 is: 20,187,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,394 : 13,120,448 = 13,120,448 : x
  2. Step 2: Convert to fraction form
    8,527,394/13,120,448 = 13,120,448/x
  3. Step 3: Cross multiply
    8,527,394x = 13,120,448 × 13,120,448
  4. Step 4: Simplify right side
    8,527,394x = 172,146,155,720,704
  5. Step 5: Solve for x
    x = 172,146,155,720,704/8,527,394
  6. Step 6: Final answer
    x = 20,187,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.