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Finding the Third Proportional to 681,399,648 and 1,479,092,251.50

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Solution

The third proportional to 681,399,648 and 1,479,092,251.50 is: 3,210,617,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,399,648 : 1,479,092,251.50 = 1,479,092,251.50 : x
  2. Step 2: Convert to fraction form
    681,399,648/1,479,092,251.50 = 1,479,092,251.50/x
  3. Step 3: Cross multiply
    681,399,648x = 1,479,092,251.50 × 1,479,092,251.50
  4. Step 4: Simplify right side
    681,399,648x = 2,187,713,888,447,339,264
  5. Step 5: Solve for x
    x = 2,187,713,888,447,339,264/681,399,648
  6. Step 6: Final answer
    x = 3,210,617,872.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.