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Finding the Third Proportional to 31,854,546 and 49,190,035

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Solution

The third proportional to 31,854,546 and 49,190,035 is: 75,959,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,546 : 49,190,035 = 49,190,035 : x
  2. Step 2: Convert to fraction form
    31,854,546/49,190,035 = 49,190,035/x
  3. Step 3: Cross multiply
    31,854,546x = 49,190,035 × 49,190,035
  4. Step 4: Simplify right side
    31,854,546x = 2,419,659,543,301,225
  5. Step 5: Solve for x
    x = 2,419,659,543,301,225/31,854,546
  6. Step 6: Final answer
    x = 75,959,630.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.