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Finding the Third Proportional to 2,746,095 and 5,743,147

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Solution

The third proportional to 2,746,095 and 5,743,147 is: 12,011,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,095 : 5,743,147 = 5,743,147 : x
  2. Step 2: Convert to fraction form
    2,746,095/5,743,147 = 5,743,147/x
  3. Step 3: Cross multiply
    2,746,095x = 5,743,147 × 5,743,147
  4. Step 4: Simplify right side
    2,746,095x = 32,983,737,463,609
  5. Step 5: Solve for x
    x = 32,983,737,463,609/2,746,095
  6. Step 6: Final answer
    x = 12,011,142.17

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Why These Related Problems?

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