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Finding the Third Proportional to 54,244,382 and 81,871,016

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Solution

The third proportional to 54,244,382 and 81,871,016 is: 123,567,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244,382 : 81,871,016 = 81,871,016 : x
  2. Step 2: Convert to fraction form
    54,244,382/81,871,016 = 81,871,016/x
  3. Step 3: Cross multiply
    54,244,382x = 81,871,016 × 81,871,016
  4. Step 4: Simplify right side
    54,244,382x = 6,702,863,260,872,256
  5. Step 5: Solve for x
    x = 6,702,863,260,872,256/54,244,382
  6. Step 6: Final answer
    x = 123,567,879.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.