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Finding the Third Proportional to 9,259,003.50 and 13,754,413.50

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Solution

The third proportional to 9,259,003.50 and 13,754,413.50 is: 20,432,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259,003.50 : 13,754,413.50 = 13,754,413.50 : x
  2. Step 2: Convert to fraction form
    9,259,003.50/13,754,413.50 = 13,754,413.50/x
  3. Step 3: Cross multiply
    9,259,003.50x = 13,754,413.50 × 13,754,413.50
  4. Step 4: Simplify right side
    9,259,003.50x = 189,183,890,728,982.25
  5. Step 5: Solve for x
    x = 189,183,890,728,982.25/9,259,003.50
  6. Step 6: Final answer
    x = 20,432,424.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.