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Finding the Third Proportional to 9,198,400 and 19,350,224

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Solution

The third proportional to 9,198,400 and 19,350,224 is: 40,706,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,400 : 19,350,224 = 19,350,224 : x
  2. Step 2: Convert to fraction form
    9,198,400/19,350,224 = 19,350,224/x
  3. Step 3: Cross multiply
    9,198,400x = 19,350,224 × 19,350,224
  4. Step 4: Simplify right side
    9,198,400x = 374,431,168,850,176
  5. Step 5: Solve for x
    x = 374,431,168,850,176/9,198,400
  6. Step 6: Final answer
    x = 40,706,119.42

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