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Finding the Third Proportional to 9,198,416 and 19,350,256

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Solution

The third proportional to 9,198,416 and 19,350,256 is: 40,706,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,416 : 19,350,256 = 19,350,256 : x
  2. Step 2: Convert to fraction form
    9,198,416/19,350,256 = 19,350,256/x
  3. Step 3: Cross multiply
    9,198,416x = 19,350,256 × 19,350,256
  4. Step 4: Simplify right side
    9,198,416x = 374,432,407,265,536
  5. Step 5: Solve for x
    x = 374,432,407,265,536/9,198,416
  6. Step 6: Final answer
    x = 40,706,183.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.