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Finding the Third Proportional to 9,198,406 and 19,350,236

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Solution

The third proportional to 9,198,406 and 19,350,236 is: 40,706,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,406 : 19,350,236 = 19,350,236 : x
  2. Step 2: Convert to fraction form
    9,198,406/19,350,236 = 19,350,236/x
  3. Step 3: Cross multiply
    9,198,406x = 19,350,236 × 19,350,236
  4. Step 4: Simplify right side
    9,198,406x = 374,431,633,255,696
  5. Step 5: Solve for x
    x = 374,431,633,255,696/9,198,406
  6. Step 6: Final answer
    x = 40,706,143.35

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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.