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Finding the Third Proportional to 27,976,144 and 60,203,824

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Solution

The third proportional to 27,976,144 and 60,203,824 is: 129,556,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976,144 : 60,203,824 = 60,203,824 : x
  2. Step 2: Convert to fraction form
    27,976,144/60,203,824 = 60,203,824/x
  3. Step 3: Cross multiply
    27,976,144x = 60,203,824 × 60,203,824
  4. Step 4: Simplify right side
    27,976,144x = 3,624,500,424,222,976
  5. Step 5: Solve for x
    x = 3,624,500,424,222,976/27,976,144
  6. Step 6: Final answer
    x = 129,556,826.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.