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Finding the Third Proportional to 11,876,782.50 and 25,433,181

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Solution

The third proportional to 11,876,782.50 and 25,433,181 is: 54,463,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876,782.50 : 25,433,181 = 25,433,181 : x
  2. Step 2: Convert to fraction form
    11,876,782.50/25,433,181 = 25,433,181/x
  3. Step 3: Cross multiply
    11,876,782.50x = 25,433,181 × 25,433,181
  4. Step 4: Simplify right side
    11,876,782.50x = 646,846,695,778,761
  5. Step 5: Solve for x
    x = 646,846,695,778,761/11,876,782.50
  6. Step 6: Final answer
    x = 54,463,125.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.