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Finding the Third Proportional to 23,726,817 and 36,977,413.50

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Solution

The third proportional to 23,726,817 and 36,977,413.50 is: 57,628,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726,817 : 36,977,413.50 = 36,977,413.50 : x
  2. Step 2: Convert to fraction form
    23,726,817/36,977,413.50 = 36,977,413.50/x
  3. Step 3: Cross multiply
    23,726,817x = 36,977,413.50 × 36,977,413.50
  4. Step 4: Simplify right side
    23,726,817x = 1,367,329,109,149,982.25
  5. Step 5: Solve for x
    x = 1,367,329,109,149,982.25/23,726,817
  6. Step 6: Final answer
    x = 57,628,004.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.