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Finding the Third Proportional to 6,199,743 and 13,137,018

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Solution

The third proportional to 6,199,743 and 13,137,018 is: 27,836,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199,743 : 13,137,018 = 13,137,018 : x
  2. Step 2: Convert to fraction form
    6,199,743/13,137,018 = 13,137,018/x
  3. Step 3: Cross multiply
    6,199,743x = 13,137,018 × 13,137,018
  4. Step 4: Simplify right side
    6,199,743x = 172,581,241,932,324
  5. Step 5: Solve for x
    x = 172,581,241,932,324/6,199,743
  6. Step 6: Final answer
    x = 27,836,838.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.