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Finding the Third Proportional to 38,017,917 and 81,765,166.50

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Solution

The third proportional to 38,017,917 and 81,765,166.50 is: 175,852,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017,917 : 81,765,166.50 = 81,765,166.50 : x
  2. Step 2: Convert to fraction form
    38,017,917/81,765,166.50 = 81,765,166.50/x
  3. Step 3: Cross multiply
    38,017,917x = 81,765,166.50 × 81,765,166.50
  4. Step 4: Simplify right side
    38,017,917x = 6,685,542,452,772,722
  5. Step 5: Solve for x
    x = 6,685,542,452,772,722/38,017,917
  6. Step 6: Final answer
    x = 175,852,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.