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Finding the Third Proportional to 43,045,486,219 and 60,591,115,561

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Solution

The third proportional to 43,045,486,219 and 60,591,115,561 is: 85,288,461,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045,486,219 : 60,591,115,561 = 60,591,115,561 : x
  2. Step 2: Convert to fraction form
    43,045,486,219/60,591,115,561 = 60,591,115,561/x
  3. Step 3: Cross multiply
    43,045,486,219x = 60,591,115,561 × 60,591,115,561
  4. Step 4: Simplify right side
    43,045,486,219x = 3,671,283,284,926,456,135,680
  5. Step 5: Solve for x
    x = 3,671,283,284,926,456,135,680/43,045,486,219
  6. Step 6: Final answer
    x = 85,288,461,286.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.