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Finding the Third Proportional to 51,381,238.50 and 74,237,016

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Solution

The third proportional to 51,381,238.50 and 74,237,016 is: 107,259,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381,238.50 : 74,237,016 = 74,237,016 : x
  2. Step 2: Convert to fraction form
    51,381,238.50/74,237,016 = 74,237,016/x
  3. Step 3: Cross multiply
    51,381,238.50x = 74,237,016 × 74,237,016
  4. Step 4: Simplify right side
    51,381,238.50x = 5,511,134,544,584,256
  5. Step 5: Solve for x
    x = 5,511,134,544,584,256/51,381,238.50
  6. Step 6: Final answer
    x = 107,259,667.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.