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Finding the Third Proportional to 11,412,504 and 17,728,168

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Solution

The third proportional to 11,412,504 and 17,728,168 is: 27,538,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412,504 : 17,728,168 = 17,728,168 : x
  2. Step 2: Convert to fraction form
    11,412,504/17,728,168 = 17,728,168/x
  3. Step 3: Cross multiply
    11,412,504x = 17,728,168 × 17,728,168
  4. Step 4: Simplify right side
    11,412,504x = 314,287,940,636,224
  5. Step 5: Solve for x
    x = 314,287,940,636,224/11,412,504
  6. Step 6: Final answer
    x = 27,538,911.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.