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Finding the Third Proportional to 5,115,024 and 11,081,413.50

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Solution

The third proportional to 5,115,024 and 11,081,413.50 is: 24,007,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115,024 : 11,081,413.50 = 11,081,413.50 : x
  2. Step 2: Convert to fraction form
    5,115,024/11,081,413.50 = 11,081,413.50/x
  3. Step 3: Cross multiply
    5,115,024x = 11,081,413.50 × 11,081,413.50
  4. Step 4: Simplify right side
    5,115,024x = 122,797,725,157,982.25
  5. Step 5: Solve for x
    x = 122,797,725,157,982.25/5,115,024
  6. Step 6: Final answer
    x = 24,007,262.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.