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Finding the Third Proportional to 5,483,413.50 and 7,665,754.50

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Solution

The third proportional to 5,483,413.50 and 7,665,754.50 is: 10,716,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483,413.50 : 7,665,754.50 = 7,665,754.50 : x
  2. Step 2: Convert to fraction form
    5,483,413.50/7,665,754.50 = 7,665,754.50/x
  3. Step 3: Cross multiply
    5,483,413.50x = 7,665,754.50 × 7,665,754.50
  4. Step 4: Simplify right side
    5,483,413.50x = 58,763,792,054,270.25
  5. Step 5: Solve for x
    x = 58,763,792,054,270.25/5,483,413.50
  6. Step 6: Final answer
    x = 10,716,644.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.