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Finding the Third Proportional to 1,091,978,279,189 and 2,374,021,214,797

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Solution

The third proportional to 1,091,978,279,189 and 2,374,021,214,797 is: 5,161,253,511,829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,978,279,189 : 2,374,021,214,797 = 2,374,021,214,797 : x
  2. Step 2: Convert to fraction form
    1,091,978,279,189/2,374,021,214,797 = 2,374,021,214,797/x
  3. Step 3: Cross multiply
    1,091,978,279,189x = 2,374,021,214,797 × 2,374,021,214,797
  4. Step 4: Simplify right side
    1,091,978,279,189x = 5,635,976,728,306,223,155,249,152
  5. Step 5: Solve for x
    x = 5,635,976,728,306,223,155,249,152/1,091,978,279,189
  6. Step 6: Final answer
    x = 5,161,253,511,829.92

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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.