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Finding the Third Proportional to 8,527,414 and 13,120,481

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Solution

The third proportional to 8,527,414 and 13,120,481 is: 20,187,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527,414 : 13,120,481 = 13,120,481 : x
  2. Step 2: Convert to fraction form
    8,527,414/13,120,481 = 13,120,481/x
  3. Step 3: Cross multiply
    8,527,414x = 13,120,481 × 13,120,481
  4. Step 4: Simplify right side
    8,527,414x = 172,147,021,671,361
  5. Step 5: Solve for x
    x = 172,147,021,671,361/8,527,414
  6. Step 6: Final answer
    x = 20,187,482.59

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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.