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Finding the Third Proportional to 3,802,944 and 8,288,256

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Solution

The third proportional to 3,802,944 and 8,288,256 is: 18,063,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802,944 : 8,288,256 = 8,288,256 : x
  2. Step 2: Convert to fraction form
    3,802,944/8,288,256 = 8,288,256/x
  3. Step 3: Cross multiply
    3,802,944x = 8,288,256 × 8,288,256
  4. Step 4: Simplify right side
    3,802,944x = 68,695,187,521,536
  5. Step 5: Solve for x
    x = 68,695,187,521,536/3,802,944
  6. Step 6: Final answer
    x = 18,063,686.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.