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Finding the Third Proportional to 81,628,496 and 177,605,320

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Solution

The third proportional to 81,628,496 and 177,605,320 is: 386,429,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,496 : 177,605,320 = 177,605,320 : x
  2. Step 2: Convert to fraction form
    81,628,496/177,605,320 = 177,605,320/x
  3. Step 3: Cross multiply
    81,628,496x = 177,605,320 × 177,605,320
  4. Step 4: Simplify right side
    81,628,496x = 31,543,649,692,302,400
  5. Step 5: Solve for x
    x = 31,543,649,692,302,400/81,628,496
  6. Step 6: Final answer
    x = 386,429,387.26

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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.