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Finding the Third Proportional to 755,770,813,270 and 1,665,591,791,723

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Solution

The third proportional to 755,770,813,270 and 1,665,591,791,723 is: 3,670,684,244,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,770,813,270 : 1,665,591,791,723 = 1,665,591,791,723 : x
  2. Step 2: Convert to fraction form
    755,770,813,270/1,665,591,791,723 = 1,665,591,791,723/x
  3. Step 3: Cross multiply
    755,770,813,270x = 1,665,591,791,723 × 1,665,591,791,723
  4. Step 4: Simplify right side
    755,770,813,270x = 2,774,196,016,655,033,268,436,992
  5. Step 5: Solve for x
    x = 2,774,196,016,655,033,268,436,992/755,770,813,270
  6. Step 6: Final answer
    x = 3,670,684,244,409.88

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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.