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Finding the Third Proportional to 1,091,978,279,193 and 2,374,021,214,805

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Solution

The third proportional to 1,091,978,279,193 and 2,374,021,214,805 is: 5,161,253,511,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,978,279,193 : 2,374,021,214,805 = 2,374,021,214,805 : x
  2. Step 2: Convert to fraction form
    1,091,978,279,193/2,374,021,214,805 = 2,374,021,214,805/x
  3. Step 3: Cross multiply
    1,091,978,279,193x = 2,374,021,214,805 × 2,374,021,214,805
  4. Step 4: Simplify right side
    1,091,978,279,193x = 5,635,976,728,344,207,846,014,976
  5. Step 5: Solve for x
    x = 5,635,976,728,344,207,846,014,976/1,091,978,279,193
  6. Step 6: Final answer
    x = 5,161,253,511,845.80

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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.