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Finding the Third Proportional to 352,008,867 and 743,251,286

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Solution

The third proportional to 352,008,867 and 743,251,286 is: 1,569,342,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,008,867 : 743,251,286 = 743,251,286 : x
  2. Step 2: Convert to fraction form
    352,008,867/743,251,286 = 743,251,286/x
  3. Step 3: Cross multiply
    352,008,867x = 743,251,286 × 743,251,286
  4. Step 4: Simplify right side
    352,008,867x = 552,422,474,140,653,824
  5. Step 5: Solve for x
    x = 552,422,474,140,653,824/352,008,867
  6. Step 6: Final answer
    x = 1,569,342,496.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.