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Finding the Third Proportional to 2,673,198 and 5,763,708

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Solution

The third proportional to 2,673,198 and 5,763,708 is: 12,427,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,198 : 5,763,708 = 5,763,708 : x
  2. Step 2: Convert to fraction form
    2,673,198/5,763,708 = 5,763,708/x
  3. Step 3: Cross multiply
    2,673,198x = 5,763,708 × 5,763,708
  4. Step 4: Simplify right side
    2,673,198x = 33,220,329,909,264
  5. Step 5: Solve for x
    x = 33,220,329,909,264/2,673,198
  6. Step 6: Final answer
    x = 12,427,186.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.