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Finding the Third Proportional to 39,590,982 and 82,801,905

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Solution

The third proportional to 39,590,982 and 82,801,905 is: 173,174,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,590,982 : 82,801,905 = 82,801,905 : x
  2. Step 2: Convert to fraction form
    39,590,982/82,801,905 = 82,801,905/x
  3. Step 3: Cross multiply
    39,590,982x = 82,801,905 × 82,801,905
  4. Step 4: Simplify right side
    39,590,982x = 6,856,155,471,629,025
  5. Step 5: Solve for x
    x = 6,856,155,471,629,025/39,590,982
  6. Step 6: Final answer
    x = 173,174,675.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.