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Finding the Third Proportional to 683,257,171,728 and 1,469,342,198,256

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Solution

The third proportional to 683,257,171,728 and 1,469,342,198,256 is: 3,159,815,344,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,257,171,728 : 1,469,342,198,256 = 1,469,342,198,256 : x
  2. Step 2: Convert to fraction form
    683,257,171,728/1,469,342,198,256 = 1,469,342,198,256/x
  3. Step 3: Cross multiply
    683,257,171,728x = 1,469,342,198,256 × 1,469,342,198,256
  4. Step 4: Simplify right side
    683,257,171,728x = 2,158,966,495,575,774,324,588,544
  5. Step 5: Solve for x
    x = 2,158,966,495,575,774,324,588,544/683,257,171,728
  6. Step 6: Final answer
    x = 3,159,815,344,660.95

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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.