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Finding the Third Proportional to 568,188,382 and 1,327,544,908

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Solution

The third proportional to 568,188,382 and 1,327,544,908 is: 3,101,745,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,188,382 : 1,327,544,908 = 1,327,544,908 : x
  2. Step 2: Convert to fraction form
    568,188,382/1,327,544,908 = 1,327,544,908/x
  3. Step 3: Cross multiply
    568,188,382x = 1,327,544,908 × 1,327,544,908
  4. Step 4: Simplify right side
    568,188,382x = 1,762,375,482,756,728,576
  5. Step 5: Solve for x
    x = 1,762,375,482,756,728,576/568,188,382
  6. Step 6: Final answer
    x = 3,101,745,017.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.