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Finding the Third Proportional to 4,099,496 and 8,971,247

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Solution

The third proportional to 4,099,496 and 8,971,247 is: 19,632,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,496 : 8,971,247 = 8,971,247 : x
  2. Step 2: Convert to fraction form
    4,099,496/8,971,247 = 8,971,247/x
  3. Step 3: Cross multiply
    4,099,496x = 8,971,247 × 8,971,247
  4. Step 4: Simplify right side
    4,099,496x = 80,483,272,735,009
  5. Step 5: Solve for x
    x = 80,483,272,735,009/4,099,496
  6. Step 6: Final answer
    x = 19,632,479.88

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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.