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Finding the Third Proportional to 1,358,839,253,756 and 2,109,856,988,694

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Solution

The third proportional to 1,358,839,253,756 and 2,109,856,988,694 is: 3,275,955,195,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358,839,253,756 : 2,109,856,988,694 = 2,109,856,988,694 : x
  2. Step 2: Convert to fraction form
    1,358,839,253,756/2,109,856,988,694 = 2,109,856,988,694/x
  3. Step 3: Cross multiply
    1,358,839,253,756x = 2,109,856,988,694 × 2,109,856,988,694
  4. Step 4: Simplify right side
    1,358,839,253,756x = 4,451,496,512,740,913,691,230,208
  5. Step 5: Solve for x
    x = 4,451,496,512,740,913,691,230,208/1,358,839,253,756
  6. Step 6: Final answer
    x = 3,275,955,195,168.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.