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Finding the Third Proportional to 8,857,839 and 18,422,413.50

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Solution

The third proportional to 8,857,839 and 18,422,413.50 is: 38,314,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857,839 : 18,422,413.50 = 18,422,413.50 : x
  2. Step 2: Convert to fraction form
    8,857,839/18,422,413.50 = 18,422,413.50/x
  3. Step 3: Cross multiply
    8,857,839x = 18,422,413.50 × 18,422,413.50
  4. Step 4: Simplify right side
    8,857,839x = 339,385,319,164,982.25
  5. Step 5: Solve for x
    x = 339,385,319,164,982.25/8,857,839
  6. Step 6: Final answer
    x = 38,314,685.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.