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Finding the Third Proportional to 2,394,413.25 and 5,320,267.13

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Solution

The third proportional to 2,394,413.25 and 5,320,267.13 is: 11,821,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394,413.25 : 5,320,267.13 = 5,320,267.13 : x
  2. Step 2: Convert to fraction form
    2,394,413.25/5,320,267.13 = 5,320,267.13/x
  3. Step 3: Cross multiply
    2,394,413.25x = 5,320,267.13 × 5,320,267.13
  4. Step 4: Simplify right side
    2,394,413.25x = 28,305,242,281,355.77
  5. Step 5: Solve for x
    x = 28,305,242,281,355.77/2,394,413.25
  6. Step 6: Final answer
    x = 11,821,368.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.