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Finding the Third Proportional to 3,006,198 and 6,307,812

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Solution

The third proportional to 3,006,198 and 6,307,812 is: 13,235,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,198 : 6,307,812 = 6,307,812 : x
  2. Step 2: Convert to fraction form
    3,006,198/6,307,812 = 6,307,812/x
  3. Step 3: Cross multiply
    3,006,198x = 6,307,812 × 6,307,812
  4. Step 4: Simplify right side
    3,006,198x = 39,788,492,227,344
  5. Step 5: Solve for x
    x = 39,788,492,227,344/3,006,198
  6. Step 6: Final answer
    x = 13,235,486.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.