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Finding the Third Proportional to 755,770,813,268 and 1,665,591,791,719

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Solution

The third proportional to 755,770,813,268 and 1,665,591,791,719 is: 3,670,684,244,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,770,813,268 : 1,665,591,791,719 = 1,665,591,791,719 : x
  2. Step 2: Convert to fraction form
    755,770,813,268/1,665,591,791,719 = 1,665,591,791,719/x
  3. Step 3: Cross multiply
    755,770,813,268x = 1,665,591,791,719 × 1,665,591,791,719
  4. Step 4: Simplify right side
    755,770,813,268x = 2,774,196,016,641,708,669,272,064
  5. Step 5: Solve for x
    x = 2,774,196,016,641,708,669,272,064/755,770,813,268
  6. Step 6: Final answer
    x = 3,670,684,244,401.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.