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Finding the Third Proportional to 3,256,864 and 6,946,544

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Solution

The third proportional to 3,256,864 and 6,946,544 is: 14,816,238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,864 : 6,946,544 = 6,946,544 : x
  2. Step 2: Convert to fraction form
    3,256,864/6,946,544 = 6,946,544/x
  3. Step 3: Cross multiply
    3,256,864x = 6,946,544 × 6,946,544
  4. Step 4: Simplify right side
    3,256,864x = 48,254,473,543,936
  5. Step 5: Solve for x
    x = 48,254,473,543,936/3,256,864
  6. Step 6: Final answer
    x = 14,816,238.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.