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Finding the Third Proportional to 3,949,380,312 and 8,225,648,508

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Solution

The third proportional to 3,949,380,312 and 8,225,648,508 is: 17,132,129,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949,380,312 : 8,225,648,508 = 8,225,648,508 : x
  2. Step 2: Convert to fraction form
    3,949,380,312/8,225,648,508 = 8,225,648,508/x
  3. Step 3: Cross multiply
    3,949,380,312x = 8,225,648,508 × 8,225,648,508
  4. Step 4: Simplify right side
    3,949,380,312x = 67,661,293,377,162,625,024
  5. Step 5: Solve for x
    x = 67,661,293,377,162,625,024/3,949,380,312
  6. Step 6: Final answer
    x = 17,132,129,101.77

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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.