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Finding the Third Proportional to 12,791,961 and 27,825,198

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Solution

The third proportional to 12,791,961 and 27,825,198 is: 60,525,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791,961 : 27,825,198 = 27,825,198 : x
  2. Step 2: Convert to fraction form
    12,791,961/27,825,198 = 27,825,198/x
  3. Step 3: Cross multiply
    12,791,961x = 27,825,198 × 27,825,198
  4. Step 4: Simplify right side
    12,791,961x = 774,241,643,739,204
  5. Step 5: Solve for x
    x = 774,241,643,739,204/12,791,961
  6. Step 6: Final answer
    x = 60,525,641.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.