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Finding the Third Proportional to 675,597,524 and 1,454,858,849

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Solution

The third proportional to 675,597,524 and 1,454,858,849 is: 3,132,951,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,597,524 : 1,454,858,849 = 1,454,858,849 : x
  2. Step 2: Convert to fraction form
    675,597,524/1,454,858,849 = 1,454,858,849/x
  3. Step 3: Cross multiply
    675,597,524x = 1,454,858,849 × 1,454,858,849
  4. Step 4: Simplify right side
    675,597,524x = 2,116,614,270,513,604,864
  5. Step 5: Solve for x
    x = 2,116,614,270,513,604,864/675,597,524
  6. Step 6: Final answer
    x = 3,132,951,491.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.