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Finding the Third Proportional to 3,215,338,138 and 6,694,911,474

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Solution

The third proportional to 3,215,338,138 and 6,694,911,474 is: 13,940,008,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215,338,138 : 6,694,911,474 = 6,694,911,474 : x
  2. Step 2: Convert to fraction form
    3,215,338,138/6,694,911,474 = 6,694,911,474/x
  3. Step 3: Cross multiply
    3,215,338,138x = 6,694,911,474 × 6,694,911,474
  4. Step 4: Simplify right side
    3,215,338,138x = 44,821,839,644,696,854,528
  5. Step 5: Solve for x
    x = 44,821,839,644,696,854,528/3,215,338,138
  6. Step 6: Final answer
    x = 13,940,008,086.55

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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.