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Finding the Third Proportional to 117,546,907 and 274,491,812

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Solution

The third proportional to 117,546,907 and 274,491,812 is: 640,984,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546,907 : 274,491,812 = 274,491,812 : x
  2. Step 2: Convert to fraction form
    117,546,907/274,491,812 = 274,491,812/x
  3. Step 3: Cross multiply
    117,546,907x = 274,491,812 × 274,491,812
  4. Step 4: Simplify right side
    117,546,907x = 75,345,754,855,043,344
  5. Step 5: Solve for x
    x = 75,345,754,855,043,344/117,546,907
  6. Step 6: Final answer
    x = 640,984,580.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.