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Finding the Third Proportional to 4,159,944,735 and 8,465,172,414

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Solution

The third proportional to 4,159,944,735 and 8,465,172,414 is: 17,225,984,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,944,735 : 8,465,172,414 = 8,465,172,414 : x
  2. Step 2: Convert to fraction form
    4,159,944,735/8,465,172,414 = 8,465,172,414/x
  3. Step 3: Cross multiply
    4,159,944,735x = 8,465,172,414 × 8,465,172,414
  4. Step 4: Simplify right side
    4,159,944,735x = 71,659,143,998,746,591,232
  5. Step 5: Solve for x
    x = 71,659,143,998,746,591,232/4,159,944,735
  6. Step 6: Final answer
    x = 17,225,984,613.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.