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Finding the Third Proportional to 40,259,919,877 and 60,040,750,411

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Solution

The third proportional to 40,259,919,877 and 60,040,750,411 is: 89,540,459,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,259,919,877 : 60,040,750,411 = 60,040,750,411 : x
  2. Step 2: Convert to fraction form
    40,259,919,877/60,040,750,411 = 60,040,750,411/x
  3. Step 3: Cross multiply
    40,259,919,877x = 60,040,750,411 × 60,040,750,411
  4. Step 4: Simplify right side
    40,259,919,877x = 3,604,891,709,915,996,880,896
  5. Step 5: Solve for x
    x = 3,604,891,709,915,996,880,896/40,259,919,877
  6. Step 6: Final answer
    x = 89,540,459,119.88

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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.