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Finding the Third Proportional to 1,269,884,325 and 2,734,375,686

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Solution

The third proportional to 1,269,884,325 and 2,734,375,686 is: 5,887,788,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,884,325 : 2,734,375,686 = 2,734,375,686 : x
  2. Step 2: Convert to fraction form
    1,269,884,325/2,734,375,686 = 2,734,375,686/x
  3. Step 3: Cross multiply
    1,269,884,325x = 2,734,375,686 × 2,734,375,686
  4. Step 4: Simplify right side
    1,269,884,325x = 7,476,810,392,187,970,560
  5. Step 5: Solve for x
    x = 7,476,810,392,187,970,560/1,269,884,325
  6. Step 6: Final answer
    x = 5,887,788,552.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.