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Finding the Third Proportional to 16,476,997.50 and 35,883,225

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Solution

The third proportional to 16,476,997.50 and 35,883,225 is: 78,145,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476,997.50 : 35,883,225 = 35,883,225 : x
  2. Step 2: Convert to fraction form
    16,476,997.50/35,883,225 = 35,883,225/x
  3. Step 3: Cross multiply
    16,476,997.50x = 35,883,225 × 35,883,225
  4. Step 4: Simplify right side
    16,476,997.50x = 1,287,605,836,400,625
  5. Step 5: Solve for x
    x = 1,287,605,836,400,625/16,476,997.50
  6. Step 6: Final answer
    x = 78,145,659.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.