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Finding the Third Proportional to 39,856,180 and 85,825,096

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Solution

The third proportional to 39,856,180 and 85,825,096 is: 184,813,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,856,180 : 85,825,096 = 85,825,096 : x
  2. Step 2: Convert to fraction form
    39,856,180/85,825,096 = 85,825,096/x
  3. Step 3: Cross multiply
    39,856,180x = 85,825,096 × 85,825,096
  4. Step 4: Simplify right side
    39,856,180x = 7,365,947,103,409,216
  5. Step 5: Solve for x
    x = 7,365,947,103,409,216/39,856,180
  6. Step 6: Final answer
    x = 184,813,173.35

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