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Finding the Third Proportional to 80,481,726 and 174,333,831

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Solution

The third proportional to 80,481,726 and 174,333,831 is: 377,629,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,481,726 : 174,333,831 = 174,333,831 : x
  2. Step 2: Convert to fraction form
    80,481,726/174,333,831 = 174,333,831/x
  3. Step 3: Cross multiply
    80,481,726x = 174,333,831 × 174,333,831
  4. Step 4: Simplify right side
    80,481,726x = 30,392,284,631,136,560
  5. Step 5: Solve for x
    x = 30,392,284,631,136,560/80,481,726
  6. Step 6: Final answer
    x = 377,629,632.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.