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Finding the Third Proportional to 683,257,170,524 and 1,469,342,195,872

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Solution

The third proportional to 683,257,170,524 and 1,469,342,195,872 is: 3,159,815,339,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,257,170,524 : 1,469,342,195,872 = 1,469,342,195,872 : x
  2. Step 2: Convert to fraction form
    683,257,170,524/1,469,342,195,872 = 1,469,342,195,872/x
  3. Step 3: Cross multiply
    683,257,170,524x = 1,469,342,195,872 × 1,469,342,195,872
  4. Step 4: Simplify right side
    683,257,170,524x = 2,158,966,488,569,950,909,759,488
  5. Step 5: Solve for x
    x = 2,158,966,488,569,950,909,759,488/683,257,170,524
  6. Step 6: Final answer
    x = 3,159,815,339,975.44

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