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Finding the Third Proportional to 1,091,978,279,191 and 2,374,021,214,801

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Solution

The third proportional to 1,091,978,279,191 and 2,374,021,214,801 is: 5,161,253,511,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,978,279,191 : 2,374,021,214,801 = 2,374,021,214,801 : x
  2. Step 2: Convert to fraction form
    1,091,978,279,191/2,374,021,214,801 = 2,374,021,214,801/x
  3. Step 3: Cross multiply
    1,091,978,279,191x = 2,374,021,214,801 × 2,374,021,214,801
  4. Step 4: Simplify right side
    1,091,978,279,191x = 5,635,976,728,325,215,500,632,064
  5. Step 5: Solve for x
    x = 5,635,976,728,325,215,500,632,064/1,091,978,279,191
  6. Step 6: Final answer
    x = 5,161,253,511,837.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.