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Finding the Third Proportional to 664,686,724 and 1,538,629,414

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Solution

The third proportional to 664,686,724 and 1,538,629,414 is: 3,561,648,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,686,724 : 1,538,629,414 = 1,538,629,414 : x
  2. Step 2: Convert to fraction form
    664,686,724/1,538,629,414 = 1,538,629,414/x
  3. Step 3: Cross multiply
    664,686,724x = 1,538,629,414 × 1,538,629,414
  4. Step 4: Simplify right side
    664,686,724x = 2,367,380,473,625,983,488
  5. Step 5: Solve for x
    x = 2,367,380,473,625,983,488/664,686,724
  6. Step 6: Final answer
    x = 3,561,648,500.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.