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Finding the Third Proportional to 3,295,976 and 6,946,256

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Solution

The third proportional to 3,295,976 and 6,946,256 is: 14,639,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,976 : 6,946,256 = 6,946,256 : x
  2. Step 2: Convert to fraction form
    3,295,976/6,946,256 = 6,946,256/x
  3. Step 3: Cross multiply
    3,295,976x = 6,946,256 × 6,946,256
  4. Step 4: Simplify right side
    3,295,976x = 48,250,472,417,536
  5. Step 5: Solve for x
    x = 48,250,472,417,536/3,295,976
  6. Step 6: Final answer
    x = 14,639,206.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.