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Finding the Third Proportional to 39,082,914 and 83,532,912

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Solution

The third proportional to 39,082,914 and 83,532,912 is: 178,537,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082,914 : 83,532,912 = 83,532,912 : x
  2. Step 2: Convert to fraction form
    39,082,914/83,532,912 = 83,532,912/x
  3. Step 3: Cross multiply
    39,082,914x = 83,532,912 × 83,532,912
  4. Step 4: Simplify right side
    39,082,914x = 6,977,747,387,199,744
  5. Step 5: Solve for x
    x = 6,977,747,387,199,744/39,082,914
  6. Step 6: Final answer
    x = 178,537,029.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.