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Finding the Third Proportional to 9,198,396 and 19,350,216

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Solution

The third proportional to 9,198,396 and 19,350,216 is: 40,706,103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,396 : 19,350,216 = 19,350,216 : x
  2. Step 2: Convert to fraction form
    9,198,396/19,350,216 = 19,350,216/x
  3. Step 3: Cross multiply
    9,198,396x = 19,350,216 × 19,350,216
  4. Step 4: Simplify right side
    9,198,396x = 374,430,859,246,656
  5. Step 5: Solve for x
    x = 374,430,859,246,656/9,198,396
  6. Step 6: Final answer
    x = 40,706,103.46

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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.