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Finding the Third Proportional to 40,259,920,052 and 60,040,750,638

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Solution

The third proportional to 40,259,920,052 and 60,040,750,638 is: 89,540,459,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259,920,052 : 60,040,750,638 = 60,040,750,638 : x
  2. Step 2: Convert to fraction form
    40,259,920,052/60,040,750,638 = 60,040,750,638/x
  3. Step 3: Cross multiply
    40,259,920,052x = 60,040,750,638 × 60,040,750,638
  4. Step 4: Simplify right side
    40,259,920,052x = 3,604,891,737,174,497,558,528
  5. Step 5: Solve for x
    x = 3,604,891,737,174,497,558,528/40,259,920,052
  6. Step 6: Final answer
    x = 89,540,459,407.73

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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.