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Finding the Third Proportional to 81,628,576 and 177,605,438

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Solution

The third proportional to 81,628,576 and 177,605,438 is: 386,429,522.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,576 : 177,605,438 = 177,605,438 : x
  2. Step 2: Convert to fraction form
    81,628,576/177,605,438 = 177,605,438/x
  3. Step 3: Cross multiply
    81,628,576x = 177,605,438 × 177,605,438
  4. Step 4: Simplify right side
    81,628,576x = 31,543,691,607,171,844
  5. Step 5: Solve for x
    x = 31,543,691,607,171,844/81,628,576
  6. Step 6: Final answer
    x = 386,429,522.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.