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Finding the Third Proportional to 3,477,413.50 and 7,469,015

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Solution

The third proportional to 3,477,413.50 and 7,469,015 is: 16,042,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,413.50 : 7,469,015 = 7,469,015 : x
  2. Step 2: Convert to fraction form
    3,477,413.50/7,469,015 = 7,469,015/x
  3. Step 3: Cross multiply
    3,477,413.50x = 7,469,015 × 7,469,015
  4. Step 4: Simplify right side
    3,477,413.50x = 55,786,185,070,225
  5. Step 5: Solve for x
    x = 55,786,185,070,225/3,477,413.50
  6. Step 6: Final answer
    x = 16,042,436.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.