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Finding the Third Proportional to 1,091,978,279,195 and 2,374,021,214,809

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Solution

The third proportional to 1,091,978,279,195 and 2,374,021,214,809 is: 5,161,253,511,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,978,279,195 : 2,374,021,214,809 = 2,374,021,214,809 : x
  2. Step 2: Convert to fraction form
    1,091,978,279,195/2,374,021,214,809 = 2,374,021,214,809/x
  3. Step 3: Cross multiply
    1,091,978,279,195x = 2,374,021,214,809 × 2,374,021,214,809
  4. Step 4: Simplify right side
    1,091,978,279,195x = 5,635,976,728,363,200,191,397,888
  5. Step 5: Solve for x
    x = 5,635,976,728,363,200,191,397,888/1,091,978,279,195
  6. Step 6: Final answer
    x = 5,161,253,511,853.74

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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.