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Finding the Third Proportional to 2,463,856,728 and 5,131,524,360

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Solution

The third proportional to 2,463,856,728 and 5,131,524,360 is: 10,687,529,821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,856,728 : 5,131,524,360 = 5,131,524,360 : x
  2. Step 2: Convert to fraction form
    2,463,856,728/5,131,524,360 = 5,131,524,360/x
  3. Step 3: Cross multiply
    2,463,856,728x = 5,131,524,360 × 5,131,524,360
  4. Step 4: Simplify right side
    2,463,856,728x = 26,332,542,257,273,409,536
  5. Step 5: Solve for x
    x = 26,332,542,257,273,409,536/2,463,856,728
  6. Step 6: Final answer
    x = 10,687,529,821.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.