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Finding the Third Proportional to 276,144,750 and 428,767,367

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Solution

The third proportional to 276,144,750 and 428,767,367 is: 665,743,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144,750 : 428,767,367 = 428,767,367 : x
  2. Step 2: Convert to fraction form
    276,144,750/428,767,367 = 428,767,367/x
  3. Step 3: Cross multiply
    276,144,750x = 428,767,367 × 428,767,367
  4. Step 4: Simplify right side
    276,144,750x = 183,841,455,004,112,704
  5. Step 5: Solve for x
    x = 183,841,455,004,112,704/276,144,750
  6. Step 6: Final answer
    x = 665,743,074.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.