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Finding the Third Proportional to 115,541,862,275 and 251,595,819,571

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Solution

The third proportional to 115,541,862,275 and 251,595,819,571 is: 547,857,332,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,541,862,275 : 251,595,819,571 = 251,595,819,571 : x
  2. Step 2: Convert to fraction form
    115,541,862,275/251,595,819,571 = 251,595,819,571/x
  3. Step 3: Cross multiply
    115,541,862,275x = 251,595,819,571 × 251,595,819,571
  4. Step 4: Simplify right side
    115,541,862,275x = 63,300,456,425,603,188,391,936
  5. Step 5: Solve for x
    x = 63,300,456,425,603,188,391,936/115,541,862,275
  6. Step 6: Final answer
    x = 547,857,332,219.06

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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.