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Finding the Third Proportional to 9,414,198 and 14,108,649

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Solution

The third proportional to 9,414,198 and 14,108,649 is: 21,144,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414,198 : 14,108,649 = 14,108,649 : x
  2. Step 2: Convert to fraction form
    9,414,198/14,108,649 = 14,108,649/x
  3. Step 3: Cross multiply
    9,414,198x = 14,108,649 × 14,108,649
  4. Step 4: Simplify right side
    9,414,198x = 199,053,976,605,201
  5. Step 5: Solve for x
    x = 199,053,976,605,201/9,414,198
  6. Step 6: Final answer
    x = 21,144,018.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.