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Finding the Third Proportional to 7,440,729.50 and 16,021,735

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Solution

The third proportional to 7,440,729.50 and 16,021,735 is: 34,498,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440,729.50 : 16,021,735 = 16,021,735 : x
  2. Step 2: Convert to fraction form
    7,440,729.50/16,021,735 = 16,021,735/x
  3. Step 3: Cross multiply
    7,440,729.50x = 16,021,735 × 16,021,735
  4. Step 4: Simplify right side
    7,440,729.50x = 256,695,992,410,225
  5. Step 5: Solve for x
    x = 256,695,992,410,225/7,440,729.50
  6. Step 6: Final answer
    x = 34,498,766.88

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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.