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Finding the Third Proportional to 683,257,170,682 and 1,469,342,196,092

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Solution

The third proportional to 683,257,170,682 and 1,469,342,196,092 is: 3,159,815,340,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,257,170,682 : 1,469,342,196,092 = 1,469,342,196,092 : x
  2. Step 2: Convert to fraction form
    683,257,170,682/1,469,342,196,092 = 1,469,342,196,092/x
  3. Step 3: Cross multiply
    683,257,170,682x = 1,469,342,196,092 × 1,469,342,196,092
  4. Step 4: Simplify right side
    683,257,170,682x = 2,158,966,489,216,461,330,972,672
  5. Step 5: Solve for x
    x = 2,158,966,489,216,461,330,972,672/683,257,170,682
  6. Step 6: Final answer
    x = 3,159,815,340,190.97

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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.