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Finding the Third Proportional to 11,880,843.75 and 18,884,238.75

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Solution

The third proportional to 11,880,843.75 and 18,884,238.75 is: 30,015,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880,843.75 : 18,884,238.75 = 18,884,238.75 : x
  2. Step 2: Convert to fraction form
    11,880,843.75/18,884,238.75 = 18,884,238.75/x
  3. Step 3: Cross multiply
    11,880,843.75x = 18,884,238.75 × 18,884,238.75
  4. Step 4: Simplify right side
    11,880,843.75x = 356,614,473,167,001.56
  5. Step 5: Solve for x
    x = 356,614,473,167,001.56/11,880,843.75
  6. Step 6: Final answer
    x = 30,015,921.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.