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Finding the Third Proportional to 39,000,771 and 83,040,390

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Solution

The third proportional to 39,000,771 and 83,040,390 is: 176,809,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000,771 : 83,040,390 = 83,040,390 : x
  2. Step 2: Convert to fraction form
    39,000,771/83,040,390 = 83,040,390/x
  3. Step 3: Cross multiply
    39,000,771x = 83,040,390 × 83,040,390
  4. Step 4: Simplify right side
    39,000,771x = 6,895,706,371,352,100
  5. Step 5: Solve for x
    x = 6,895,706,371,352,100/39,000,771
  6. Step 6: Final answer
    x = 176,809,488.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.