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Finding the Third Proportional to 4,721,413.50 and 10,435,280.50

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Solution

The third proportional to 4,721,413.50 and 10,435,280.50 is: 23,064,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,721,413.50 : 10,435,280.50 = 10,435,280.50 : x
  2. Step 2: Convert to fraction form
    4,721,413.50/10,435,280.50 = 10,435,280.50/x
  3. Step 3: Cross multiply
    4,721,413.50x = 10,435,280.50 × 10,435,280.50
  4. Step 4: Simplify right side
    4,721,413.50x = 108,895,079,113,680.25
  5. Step 5: Solve for x
    x = 108,895,079,113,680.25/4,721,413.50
  6. Step 6: Final answer
    x = 23,064,084.33

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.