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Finding the Third Proportional to 5,167,904,916 and 11,336,327,376

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Solution

The third proportional to 5,167,904,916 and 11,336,327,376 is: 24,867,392,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167,904,916 : 11,336,327,376 = 11,336,327,376 : x
  2. Step 2: Convert to fraction form
    5,167,904,916/11,336,327,376 = 11,336,327,376/x
  3. Step 3: Cross multiply
    5,167,904,916x = 11,336,327,376 × 11,336,327,376
  4. Step 4: Simplify right side
    5,167,904,916x = 128,512,318,375,847,051,264
  5. Step 5: Solve for x
    x = 128,512,318,375,847,051,264/5,167,904,916
  6. Step 6: Final answer
    x = 24,867,392,195.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.