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Finding the Third Proportional to 31,881,980 and 50,755,305

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Solution

The third proportional to 31,881,980 and 50,755,305 is: 80,801,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881,980 : 50,755,305 = 50,755,305 : x
  2. Step 2: Convert to fraction form
    31,881,980/50,755,305 = 50,755,305/x
  3. Step 3: Cross multiply
    31,881,980x = 50,755,305 × 50,755,305
  4. Step 4: Simplify right side
    31,881,980x = 2,576,100,985,643,025
  5. Step 5: Solve for x
    x = 2,576,100,985,643,025/31,881,980
  6. Step 6: Final answer
    x = 80,801,160.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.