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Finding the Third Proportional to 39,082,910 and 83,532,898

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Solution

The third proportional to 39,082,910 and 83,532,898 is: 178,536,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082,910 : 83,532,898 = 83,532,898 : x
  2. Step 2: Convert to fraction form
    39,082,910/83,532,898 = 83,532,898/x
  3. Step 3: Cross multiply
    39,082,910x = 83,532,898 × 83,532,898
  4. Step 4: Simplify right side
    39,082,910x = 6,977,745,048,278,404
  5. Step 5: Solve for x
    x = 6,977,745,048,278,404/39,082,910
  6. Step 6: Final answer
    x = 178,536,988.37

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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.