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Finding the Third Proportional to 7,240,224 and 14,297,696

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Solution

The third proportional to 7,240,224 and 14,297,696 is: 28,234,500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240,224 : 14,297,696 = 14,297,696 : x
  2. Step 2: Convert to fraction form
    7,240,224/14,297,696 = 14,297,696/x
  3. Step 3: Cross multiply
    7,240,224x = 14,297,696 × 14,297,696
  4. Step 4: Simplify right side
    7,240,224x = 204,424,110,908,416
  5. Step 5: Solve for x
    x = 204,424,110,908,416/7,240,224
  6. Step 6: Final answer
    x = 28,234,500.88

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.