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Finding the Third Proportional to 6,647,868 and 14,288,805

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Solution

The third proportional to 6,647,868 and 14,288,805 is: 30,712,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647,868 : 14,288,805 = 14,288,805 : x
  2. Step 2: Convert to fraction form
    6,647,868/14,288,805 = 14,288,805/x
  3. Step 3: Cross multiply
    6,647,868x = 14,288,805 × 14,288,805
  4. Step 4: Simplify right side
    6,647,868x = 204,169,948,328,025
  5. Step 5: Solve for x
    x = 204,169,948,328,025/6,647,868
  6. Step 6: Final answer
    x = 30,712,094.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.