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Finding the Third Proportional to 9,198,576 and 19,350,456

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Solution

The third proportional to 9,198,576 and 19,350,456 is: 40,706,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,576 : 19,350,456 = 19,350,456 : x
  2. Step 2: Convert to fraction form
    9,198,576/19,350,456 = 19,350,456/x
  3. Step 3: Cross multiply
    9,198,576x = 19,350,456 × 19,350,456
  4. Step 4: Simplify right side
    9,198,576x = 374,440,147,407,936
  5. Step 5: Solve for x
    x = 374,440,147,407,936/9,198,576
  6. Step 6: Final answer
    x = 40,706,316.65

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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.