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Finding the Third Proportional to 32,823,864 and 75,981,303

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Solution

The third proportional to 32,823,864 and 75,981,303 is: 175,882,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,864 : 75,981,303 = 75,981,303 : x
  2. Step 2: Convert to fraction form
    32,823,864/75,981,303 = 75,981,303/x
  3. Step 3: Cross multiply
    32,823,864x = 75,981,303 × 75,981,303
  4. Step 4: Simplify right side
    32,823,864x = 5,773,158,405,577,809
  5. Step 5: Solve for x
    x = 5,773,158,405,577,809/32,823,864
  6. Step 6: Final answer
    x = 175,882,961.42

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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.