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Finding the Third Proportional to 5,182,063,864 and 11,189,855,264

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Solution

The third proportional to 5,182,063,864 and 11,189,855,264 is: 24,162,739,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,063,864 : 11,189,855,264 = 11,189,855,264 : x
  2. Step 2: Convert to fraction form
    5,182,063,864/11,189,855,264 = 11,189,855,264/x
  3. Step 3: Cross multiply
    5,182,063,864x = 11,189,855,264 × 11,189,855,264
  4. Step 4: Simplify right side
    5,182,063,864x = 125,212,860,829,268,508,672
  5. Step 5: Solve for x
    x = 125,212,860,829,268,508,672/5,182,063,864
  6. Step 6: Final answer
    x = 24,162,739,810.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.