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Finding the Third Proportional to 39,082,912 and 83,532,908

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Solution

The third proportional to 39,082,912 and 83,532,908 is: 178,537,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082,912 : 83,532,908 = 83,532,908 : x
  2. Step 2: Convert to fraction form
    39,082,912/83,532,908 = 83,532,908/x
  3. Step 3: Cross multiply
    39,082,912x = 83,532,908 × 83,532,908
  4. Step 4: Simplify right side
    39,082,912x = 6,977,746,718,936,464
  5. Step 5: Solve for x
    x = 6,977,746,718,936,464/39,082,912
  6. Step 6: Final answer
    x = 178,537,021.98

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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.