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Finding the Third Proportional to 33,393,549 and 51,083,469

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Solution

The third proportional to 33,393,549 and 51,083,469 is: 78,144,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,393,549 : 51,083,469 = 51,083,469 : x
  2. Step 2: Convert to fraction form
    33,393,549/51,083,469 = 51,083,469/x
  3. Step 3: Cross multiply
    33,393,549x = 51,083,469 × 51,083,469
  4. Step 4: Simplify right side
    33,393,549x = 2,609,520,805,073,961
  5. Step 5: Solve for x
    x = 2,609,520,805,073,961/33,393,549
  6. Step 6: Final answer
    x = 78,144,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.