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Finding the Third Proportional to 8,012,468.25 and 16,308,096.75

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Solution

The third proportional to 8,012,468.25 and 16,308,096.75 is: 33,192,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012,468.25 : 16,308,096.75 = 16,308,096.75 : x
  2. Step 2: Convert to fraction form
    8,012,468.25/16,308,096.75 = 16,308,096.75/x
  3. Step 3: Cross multiply
    8,012,468.25x = 16,308,096.75 × 16,308,096.75
  4. Step 4: Simplify right side
    8,012,468.25x = 265,954,019,607,360.56
  5. Step 5: Solve for x
    x = 265,954,019,607,360.56/8,012,468.25
  6. Step 6: Final answer
    x = 33,192,520.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.