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Finding the Third Proportional to 77,743,724 and 179,981,486

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Solution

The third proportional to 77,743,724 and 179,981,486 is: 416,668,171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743,724 : 179,981,486 = 179,981,486 : x
  2. Step 2: Convert to fraction form
    77,743,724/179,981,486 = 179,981,486/x
  3. Step 3: Cross multiply
    77,743,724x = 179,981,486 × 179,981,486
  4. Step 4: Simplify right side
    77,743,724x = 32,393,335,302,768,196
  5. Step 5: Solve for x
    x = 32,393,335,302,768,196/77,743,724
  6. Step 6: Final answer
    x = 416,668,171.22

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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.