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Finding the Third Proportional to 11,744,413.88 and 17,967,634.88

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Solution

The third proportional to 11,744,413.88 and 17,967,634.88 is: 27,488,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,413.88 : 17,967,634.88 = 17,967,634.88 : x
  2. Step 2: Convert to fraction form
    11,744,413.88/17,967,634.88 = 17,967,634.88/x
  3. Step 3: Cross multiply
    11,744,413.88x = 17,967,634.88 × 17,967,634.88
  4. Step 4: Simplify right side
    11,744,413.88x = 322,835,903,001,316.25
  5. Step 5: Solve for x
    x = 322,835,903,001,316.25/11,744,413.88
  6. Step 6: Final answer
    x = 27,488,464.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.