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Finding the Third Proportional to 10,789,639.50 and 23,114,413.50

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Solution

The third proportional to 10,789,639.50 and 23,114,413.50 is: 49,517,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,639.50 : 23,114,413.50 = 23,114,413.50 : x
  2. Step 2: Convert to fraction form
    10,789,639.50/23,114,413.50 = 23,114,413.50/x
  3. Step 3: Cross multiply
    10,789,639.50x = 23,114,413.50 × 23,114,413.50
  4. Step 4: Simplify right side
    10,789,639.50x = 534,276,111,448,982.25
  5. Step 5: Solve for x
    x = 534,276,111,448,982.25/10,789,639.50
  6. Step 6: Final answer
    x = 49,517,512.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.