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Finding the Third Proportional to 755,770,769,757 and 1,665,591,692,331

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Solution

The third proportional to 755,770,769,757 and 1,665,591,692,331 is: 3,670,684,017,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,770,769,757 : 1,665,591,692,331 = 1,665,591,692,331 : x
  2. Step 2: Convert to fraction form
    755,770,769,757/1,665,591,692,331 = 1,665,591,692,331/x
  3. Step 3: Cross multiply
    755,770,769,757x = 1,665,591,692,331 × 1,665,591,692,331
  4. Step 4: Simplify right side
    755,770,769,757x = 2,774,195,685,562,044,754,427,904
  5. Step 5: Solve for x
    x = 2,774,195,685,562,044,754,427,904/755,770,769,757
  6. Step 6: Final answer
    x = 3,670,684,017,660.57

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Why These Related Problems?

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