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Finding the Third Proportional to 6,738,067.50 and 14,611,107

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Solution

The third proportional to 6,738,067.50 and 14,611,107 is: 31,683,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,067.50 : 14,611,107 = 14,611,107 : x
  2. Step 2: Convert to fraction form
    6,738,067.50/14,611,107 = 14,611,107/x
  3. Step 3: Cross multiply
    6,738,067.50x = 14,611,107 × 14,611,107
  4. Step 4: Simplify right side
    6,738,067.50x = 213,484,447,765,449
  5. Step 5: Solve for x
    x = 213,484,447,765,449/6,738,067.50
  6. Step 6: Final answer
    x = 31,683,334.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.