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Finding the Third Proportional to 3,949,380,396 and 8,225,648,664

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Solution

The third proportional to 3,949,380,396 and 8,225,648,664 is: 17,132,129,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949,380,396 : 8,225,648,664 = 8,225,648,664 : x
  2. Step 2: Convert to fraction form
    3,949,380,396/8,225,648,664 = 8,225,648,664/x
  3. Step 3: Cross multiply
    3,949,380,396x = 8,225,648,664 × 8,225,648,664
  4. Step 4: Simplify right side
    3,949,380,396x = 67,661,295,943,564,984,320
  5. Step 5: Solve for x
    x = 67,661,295,943,564,984,320/3,949,380,396
  6. Step 6: Final answer
    x = 17,132,129,387.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.