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Finding the Third Proportional to 6,713,198 and 10,324,623

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Solution

The third proportional to 6,713,198 and 10,324,623 is: 15,878,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713,198 : 10,324,623 = 10,324,623 : x
  2. Step 2: Convert to fraction form
    6,713,198/10,324,623 = 10,324,623/x
  3. Step 3: Cross multiply
    6,713,198x = 10,324,623 × 10,324,623
  4. Step 4: Simplify right side
    6,713,198x = 106,597,840,092,129
  5. Step 5: Solve for x
    x = 106,597,840,092,129/6,713,198
  6. Step 6: Final answer
    x = 15,878,846.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.