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Finding the Third Proportional to 31,883,469 and 50,757,486

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Solution

The third proportional to 31,883,469 and 50,757,486 is: 80,804,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883,469 : 50,757,486 = 50,757,486 : x
  2. Step 2: Convert to fraction form
    31,883,469/50,757,486 = 50,757,486/x
  3. Step 3: Cross multiply
    31,883,469x = 50,757,486 × 50,757,486
  4. Step 4: Simplify right side
    31,883,469x = 2,576,322,385,040,196
  5. Step 5: Solve for x
    x = 2,576,322,385,040,196/31,883,469
  6. Step 6: Final answer
    x = 80,804,331.08

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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.