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Finding the Third Proportional to 31,795,546 and 68,873,245

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Solution

The third proportional to 31,795,546 and 68,873,245 is: 149,188,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,795,546 : 68,873,245 = 68,873,245 : x
  2. Step 2: Convert to fraction form
    31,795,546/68,873,245 = 68,873,245/x
  3. Step 3: Cross multiply
    31,795,546x = 68,873,245 × 68,873,245
  4. Step 4: Simplify right side
    31,795,546x = 4,743,523,876,830,025
  5. Step 5: Solve for x
    x = 4,743,523,876,830,025/31,795,546
  6. Step 6: Final answer
    x = 149,188,313.26

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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.