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Finding the Third Proportional to 23,598,843.75 and 51,880,824

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Solution

The third proportional to 23,598,843.75 and 51,880,824 is: 114,057,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598,843.75 : 51,880,824 = 51,880,824 : x
  2. Step 2: Convert to fraction form
    23,598,843.75/51,880,824 = 51,880,824/x
  3. Step 3: Cross multiply
    23,598,843.75x = 51,880,824 × 51,880,824
  4. Step 4: Simplify right side
    23,598,843.75x = 2,691,619,898,918,976
  5. Step 5: Solve for x
    x = 2,691,619,898,918,976/23,598,843.75
  6. Step 6: Final answer
    x = 114,057,278.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.