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Finding the Third Proportional to 2,523,560,156.50 and 5,491,487,993

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Solution

The third proportional to 2,523,560,156.50 and 5,491,487,993 is: 11,949,958,989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,560,156.50 : 5,491,487,993 = 5,491,487,993 : x
  2. Step 2: Convert to fraction form
    2,523,560,156.50/5,491,487,993 = 5,491,487,993/x
  3. Step 3: Cross multiply
    2,523,560,156.50x = 5,491,487,993 × 5,491,487,993
  4. Step 4: Simplify right side
    2,523,560,156.50x = 30,156,440,377,263,169,536
  5. Step 5: Solve for x
    x = 30,156,440,377,263,169,536/2,523,560,156.50
  6. Step 6: Final answer
    x = 11,949,958,989.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.