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Finding the Third Proportional to 27,832,800 and 56,448,192

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Solution

The third proportional to 27,832,800 and 56,448,192 is: 114,483,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832,800 : 56,448,192 = 56,448,192 : x
  2. Step 2: Convert to fraction form
    27,832,800/56,448,192 = 56,448,192/x
  3. Step 3: Cross multiply
    27,832,800x = 56,448,192 × 56,448,192
  4. Step 4: Simplify right side
    27,832,800x = 3,186,398,380,068,864
  5. Step 5: Solve for x
    x = 3,186,398,380,068,864/27,832,800
  6. Step 6: Final answer
    x = 114,483,572.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.