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Finding the Third Proportional to 999,467,908,229 and 1,522,620,223,351

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Solution

The third proportional to 999,467,908,229 and 1,522,620,223,351 is: 2,319,606,588,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,467,908,229 : 1,522,620,223,351 = 1,522,620,223,351 : x
  2. Step 2: Convert to fraction form
    999,467,908,229/1,522,620,223,351 = 1,522,620,223,351/x
  3. Step 3: Cross multiply
    999,467,908,229x = 1,522,620,223,351 × 1,522,620,223,351
  4. Step 4: Simplify right side
    999,467,908,229x = 2,318,372,344,557,449,093,578,752
  5. Step 5: Solve for x
    x = 2,318,372,344,557,449,093,578,752/999,467,908,229
  6. Step 6: Final answer
    x = 2,319,606,588,134.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.