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Finding the Third Proportional to 567,193,302 and 1,231,188,084

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Solution

The third proportional to 567,193,302 and 1,231,188,084 is: 2,672,499,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193,302 : 1,231,188,084 = 1,231,188,084 : x
  2. Step 2: Convert to fraction form
    567,193,302/1,231,188,084 = 1,231,188,084/x
  3. Step 3: Cross multiply
    567,193,302x = 1,231,188,084 × 1,231,188,084
  4. Step 4: Simplify right side
    567,193,302x = 1,515,824,098,183,591,168
  5. Step 5: Solve for x
    x = 1,515,824,098,183,591,168/567,193,302
  6. Step 6: Final answer
    x = 2,672,499,997.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.