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Finding the Third Proportional to 1,246,120,211 and 2,659,027,198

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Solution

The third proportional to 1,246,120,211 and 2,659,027,198 is: 5,673,951,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246,120,211 : 2,659,027,198 = 2,659,027,198 : x
  2. Step 2: Convert to fraction form
    1,246,120,211/2,659,027,198 = 2,659,027,198/x
  3. Step 3: Cross multiply
    1,246,120,211x = 2,659,027,198 × 2,659,027,198
  4. Step 4: Simplify right side
    1,246,120,211x = 7,070,425,639,703,731,200
  5. Step 5: Solve for x
    x = 7,070,425,639,703,731,200/1,246,120,211
  6. Step 6: Final answer
    x = 5,673,951,499.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.