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Finding the Third Proportional to 77,743,722 and 179,981,481

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Solution

The third proportional to 77,743,722 and 179,981,481 is: 416,668,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,722 : 179,981,481 = 179,981,481 : x
  2. Step 2: Convert to fraction form
    77,743,722/179,981,481 = 179,981,481/x
  3. Step 3: Cross multiply
    77,743,722x = 179,981,481 × 179,981,481
  4. Step 4: Simplify right side
    77,743,722x = 32,393,333,502,953,360
  5. Step 5: Solve for x
    x = 32,393,333,502,953,360/77,743,722
  6. Step 6: Final answer
    x = 416,668,158.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.