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Finding the Third Proportional to 4,099,494 and 8,971,243

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Solution

The third proportional to 4,099,494 and 8,971,243 is: 19,632,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,494 : 8,971,243 = 8,971,243 : x
  2. Step 2: Convert to fraction form
    4,099,494/8,971,243 = 8,971,243/x
  3. Step 3: Cross multiply
    4,099,494x = 8,971,243 × 8,971,243
  4. Step 4: Simplify right side
    4,099,494x = 80,483,200,965,049
  5. Step 5: Solve for x
    x = 80,483,200,965,049/4,099,494
  6. Step 6: Final answer
    x = 19,632,471.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.