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Finding the Third Proportional to 81,628,596 and 177,605,476

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Solution

The third proportional to 81,628,596 and 177,605,476 is: 386,429,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628,596 : 177,605,476 = 177,605,476 : x
  2. Step 2: Convert to fraction form
    81,628,596/177,605,476 = 177,605,476/x
  3. Step 3: Cross multiply
    81,628,596x = 177,605,476 × 177,605,476
  4. Step 4: Simplify right side
    81,628,596x = 31,543,705,105,186,576
  5. Step 5: Solve for x
    x = 31,543,705,105,186,576/81,628,596
  6. Step 6: Final answer
    x = 386,429,592.70

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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.