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Finding the Third Proportional to 11,449,150.03 and 17,705,183.13

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Solution

The third proportional to 11,449,150.03 and 17,705,183.13 is: 27,379,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449,150.03 : 17,705,183.13 = 17,705,183.13 : x
  2. Step 2: Convert to fraction form
    11,449,150.03/17,705,183.13 = 17,705,183.13/x
  3. Step 3: Cross multiply
    11,449,150.03x = 17,705,183.13 × 17,705,183.13
  4. Step 4: Simplify right side
    11,449,150.03x = 313,473,509,766,410.56
  5. Step 5: Solve for x
    x = 313,473,509,766,410.56/11,449,150.03
  6. Step 6: Final answer
    x = 27,379,631.58

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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.