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Finding the Third Proportional to 9,198,776 and 19,350,824

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Solution

The third proportional to 9,198,776 and 19,350,824 is: 40,706,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198,776 : 19,350,824 = 19,350,824 : x
  2. Step 2: Convert to fraction form
    9,198,776/19,350,824 = 19,350,824/x
  3. Step 3: Cross multiply
    9,198,776x = 19,350,824 × 19,350,824
  4. Step 4: Simplify right side
    9,198,776x = 374,454,389,478,976
  5. Step 5: Solve for x
    x = 374,454,389,478,976/9,198,776
  6. Step 6: Final answer
    x = 40,706,979.87

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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.