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Finding the Third Proportional to 77,743,740 and 179,981,517

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Solution

The third proportional to 77,743,740 and 179,981,517 is: 416,668,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,740 : 179,981,517 = 179,981,517 : x
  2. Step 2: Convert to fraction form
    77,743,740/179,981,517 = 179,981,517/x
  3. Step 3: Cross multiply
    77,743,740x = 179,981,517 × 179,981,517
  4. Step 4: Simplify right side
    77,743,740x = 32,393,346,461,621,288
  5. Step 5: Solve for x
    x = 32,393,346,461,621,288/77,743,740
  6. Step 6: Final answer
    x = 416,668,229.00

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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.