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Finding the Third Proportional to 491,085,132.75 and 741,726,213.75

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Solution

The third proportional to 491,085,132.75 and 741,726,213.75 is: 1,120,290,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,085,132.75 : 741,726,213.75 = 741,726,213.75 : x
  2. Step 2: Convert to fraction form
    491,085,132.75/741,726,213.75 = 741,726,213.75/x
  3. Step 3: Cross multiply
    491,085,132.75x = 741,726,213.75 × 741,726,213.75
  4. Step 4: Simplify right side
    491,085,132.75x = 550,157,776,163,910,720
  5. Step 5: Solve for x
    x = 550,157,776,163,910,720/491,085,132.75
  6. Step 6: Final answer
    x = 1,120,290,026.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.