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Finding the Third Proportional to 6,799,972.50 and 14,796,225

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Solution

The third proportional to 6,799,972.50 and 14,796,225 is: 32,195,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,972.50 : 14,796,225 = 14,796,225 : x
  2. Step 2: Convert to fraction form
    6,799,972.50/14,796,225 = 14,796,225/x
  3. Step 3: Cross multiply
    6,799,972.50x = 14,796,225 × 14,796,225
  4. Step 4: Simplify right side
    6,799,972.50x = 218,928,274,250,625
  5. Step 5: Solve for x
    x = 218,928,274,250,625/6,799,972.50
  6. Step 6: Final answer
    x = 32,195,464.65

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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.