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Finding the Third Proportional to 5,394,900,317,888 and 11,649,654,183,672

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Solution

The third proportional to 5,394,900,317,888 and 11,649,654,183,672 is: 25,156,061,206,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,900,317,888 : 11,649,654,183,672 = 11,649,654,183,672 : x
  2. Step 2: Convert to fraction form
    5,394,900,317,888/11,649,654,183,672 = 11,649,654,183,672/x
  3. Step 3: Cross multiply
    5,394,900,317,888x = 11,649,654,183,672 × 11,649,654,183,672
  4. Step 4: Simplify right side
    5,394,900,317,888x = 135,714,442,599,146,538,372,431,872
  5. Step 5: Solve for x
    x = 135,714,442,599,146,538,372,431,872/5,394,900,317,888
  6. Step 6: Final answer
    x = 25,156,061,206,386.88

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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.