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Finding the Third Proportional to 2,665,247,753,862 and 4,060,320,593,481

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Solution

The third proportional to 2,665,247,753,862 and 4,060,320,593,481 is: 6,185,617,565,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,247,753,862 : 4,060,320,593,481 = 4,060,320,593,481 : x
  2. Step 2: Convert to fraction form
    2,665,247,753,862/4,060,320,593,481 = 4,060,320,593,481/x
  3. Step 3: Cross multiply
    2,665,247,753,862x = 4,060,320,593,481 × 4,060,320,593,481
  4. Step 4: Simplify right side
    2,665,247,753,862x = 16,486,203,321,845,900,034,179,072
  5. Step 5: Solve for x
    x = 16,486,203,321,845,900,034,179,072/2,665,247,753,862
  6. Step 6: Final answer
    x = 6,185,617,565,180.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.