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Finding the Third Proportional to 32,823,866 and 75,981,310

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Solution

The third proportional to 32,823,866 and 75,981,310 is: 175,882,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,866 : 75,981,310 = 75,981,310 : x
  2. Step 2: Convert to fraction form
    32,823,866/75,981,310 = 75,981,310/x
  3. Step 3: Cross multiply
    32,823,866x = 75,981,310 × 75,981,310
  4. Step 4: Simplify right side
    32,823,866x = 5,773,159,469,316,100
  5. Step 5: Solve for x
    x = 5,773,159,469,316,100/32,823,866
  6. Step 6: Final answer
    x = 175,882,983.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.