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Finding the Third Proportional to 276,313,542 and 599,248,218

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Solution

The third proportional to 276,313,542 and 599,248,218 is: 1,299,604,877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,313,542 : 599,248,218 = 599,248,218 : x
  2. Step 2: Convert to fraction form
    276,313,542/599,248,218 = 599,248,218/x
  3. Step 3: Cross multiply
    276,313,542x = 599,248,218 × 599,248,218
  4. Step 4: Simplify right side
    276,313,542x = 359,098,426,776,175,552
  5. Step 5: Solve for x
    x = 359,098,426,776,175,552/276,313,542
  6. Step 6: Final answer
    x = 1,299,604,877.04

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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.