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Finding the Third Proportional to 77,743,726 and 179,981,491

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Solution

The third proportional to 77,743,726 and 179,981,491 is: 416,668,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,726 : 179,981,491 = 179,981,491 : x
  2. Step 2: Convert to fraction form
    77,743,726/179,981,491 = 179,981,491/x
  3. Step 3: Cross multiply
    77,743,726x = 179,981,491 × 179,981,491
  4. Step 4: Simplify right side
    77,743,726x = 32,393,337,102,583,080
  5. Step 5: Solve for x
    x = 32,393,337,102,583,080/77,743,726
  6. Step 6: Final answer
    x = 416,668,183.65

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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.