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Finding the Third Proportional to 23,283,186.75 and 48,979,692

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Solution

The third proportional to 23,283,186.75 and 48,979,692 is: 103,036,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283,186.75 : 48,979,692 = 48,979,692 : x
  2. Step 2: Convert to fraction form
    23,283,186.75/48,979,692 = 48,979,692/x
  3. Step 3: Cross multiply
    23,283,186.75x = 48,979,692 × 48,979,692
  4. Step 4: Simplify right side
    23,283,186.75x = 2,399,010,228,414,864
  5. Step 5: Solve for x
    x = 2,399,010,228,414,864/23,283,186.75
  6. Step 6: Final answer
    x = 103,036,163.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.