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Finding the Third Proportional to 6,847,684 and 16,194,016

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Solution

The third proportional to 6,847,684 and 16,194,016 is: 38,297,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,684 : 16,194,016 = 16,194,016 : x
  2. Step 2: Convert to fraction form
    6,847,684/16,194,016 = 16,194,016/x
  3. Step 3: Cross multiply
    6,847,684x = 16,194,016 × 16,194,016
  4. Step 4: Simplify right side
    6,847,684x = 262,246,154,208,256
  5. Step 5: Solve for x
    x = 262,246,154,208,256/6,847,684
  6. Step 6: Final answer
    x = 38,297,058.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.