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Finding the Third Proportional to 5,338,714 and 11,517,236

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Solution

The third proportional to 5,338,714 and 11,517,236 is: 24,846,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,714 : 11,517,236 = 11,517,236 : x
  2. Step 2: Convert to fraction form
    5,338,714/11,517,236 = 11,517,236/x
  3. Step 3: Cross multiply
    5,338,714x = 11,517,236 × 11,517,236
  4. Step 4: Simplify right side
    5,338,714x = 132,646,725,079,696
  5. Step 5: Solve for x
    x = 132,646,725,079,696/5,338,714
  6. Step 6: Final answer
    x = 24,846,194.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.