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Finding the Third Proportional to 3,256,854 and 6,946,536

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Solution

The third proportional to 3,256,854 and 6,946,536 is: 14,816,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,854 : 6,946,536 = 6,946,536 : x
  2. Step 2: Convert to fraction form
    3,256,854/6,946,536 = 6,946,536/x
  3. Step 3: Cross multiply
    3,256,854x = 6,946,536 × 6,946,536
  4. Step 4: Simplify right side
    3,256,854x = 48,254,362,399,296
  5. Step 5: Solve for x
    x = 48,254,362,399,296/3,256,854
  6. Step 6: Final answer
    x = 14,816,249.79

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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.