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Finding the Third Proportional to 31,854,549 and 49,190,040

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Solution

The third proportional to 31,854,549 and 49,190,040 is: 75,959,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,549 : 49,190,040 = 49,190,040 : x
  2. Step 2: Convert to fraction form
    31,854,549/49,190,040 = 49,190,040/x
  3. Step 3: Cross multiply
    31,854,549x = 49,190,040 × 49,190,040
  4. Step 4: Simplify right side
    31,854,549x = 2,419,660,035,201,600
  5. Step 5: Solve for x
    x = 2,419,660,035,201,600/31,854,549
  6. Step 6: Final answer
    x = 75,959,638.77

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