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Finding the Third Proportional to 5,865,462 and 12,267,198

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Solution

The third proportional to 5,865,462 and 12,267,198 is: 25,655,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865,462 : 12,267,198 = 12,267,198 : x
  2. Step 2: Convert to fraction form
    5,865,462/12,267,198 = 12,267,198/x
  3. Step 3: Cross multiply
    5,865,462x = 12,267,198 × 12,267,198
  4. Step 4: Simplify right side
    5,865,462x = 150,484,146,771,204
  5. Step 5: Solve for x
    x = 150,484,146,771,204/5,865,462
  6. Step 6: Final answer
    x = 25,655,975.06

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.