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Finding the Third Proportional to 54,244,384 and 81,871,018.50

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Solution

The third proportional to 54,244,384 and 81,871,018.50 is: 123,567,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,244,384 : 81,871,018.50 = 81,871,018.50 : x
  2. Step 2: Convert to fraction form
    54,244,384/81,871,018.50 = 81,871,018.50/x
  3. Step 3: Cross multiply
    54,244,384x = 81,871,018.50 × 81,871,018.50
  4. Step 4: Simplify right side
    54,244,384x = 6,702,863,670,227,342
  5. Step 5: Solve for x
    x = 6,702,863,670,227,342/54,244,384
  6. Step 6: Final answer
    x = 123,567,882.53

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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.