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Finding the Third Proportional to 3,436,566 and 6,786,381

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Solution

The third proportional to 3,436,566 and 6,786,381 is: 13,401,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,566 : 6,786,381 = 6,786,381 : x
  2. Step 2: Convert to fraction form
    3,436,566/6,786,381 = 6,786,381/x
  3. Step 3: Cross multiply
    3,436,566x = 6,786,381 × 6,786,381
  4. Step 4: Simplify right side
    3,436,566x = 46,054,967,077,161
  5. Step 5: Solve for x
    x = 46,054,967,077,161/3,436,566
  6. Step 6: Final answer
    x = 13,401,449.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.