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Finding the Third Proportional to 40,259,920,219.88 and 60,040,751,051.25

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Solution

The third proportional to 40,259,920,219.88 and 60,040,751,051.25 is: 89,540,460,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259,920,219.88 : 60,040,751,051.25 = 60,040,751,051.25 : x
  2. Step 2: Convert to fraction form
    40,259,920,219.88/60,040,751,051.25 = 60,040,751,051.25/x
  3. Step 3: Cross multiply
    40,259,920,219.88x = 60,040,751,051.25 × 60,040,751,051.25
  4. Step 4: Simplify right side
    40,259,920,219.88x = 3,604,891,786,798,177,976,320
  5. Step 5: Solve for x
    x = 3,604,891,786,798,177,976,320/40,259,920,219.88
  6. Step 6: Final answer
    x = 89,540,460,266.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.