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Finding the Third Proportional to 7,462,224 and 15,821,217

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Solution

The third proportional to 7,462,224 and 15,821,217 is: 33,543,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462,224 : 15,821,217 = 15,821,217 : x
  2. Step 2: Convert to fraction form
    7,462,224/15,821,217 = 15,821,217/x
  3. Step 3: Cross multiply
    7,462,224x = 15,821,217 × 15,821,217
  4. Step 4: Simplify right side
    7,462,224x = 250,310,907,361,089
  5. Step 5: Solve for x
    x = 250,310,907,361,089/7,462,224
  6. Step 6: Final answer
    x = 33,543,740.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.