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Finding the Third Proportional to 6,684,672 and 13,723,296

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Solution

The third proportional to 6,684,672 and 13,723,296 is: 28,173,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,672 : 13,723,296 = 13,723,296 : x
  2. Step 2: Convert to fraction form
    6,684,672/13,723,296 = 13,723,296/x
  3. Step 3: Cross multiply
    6,684,672x = 13,723,296 × 13,723,296
  4. Step 4: Simplify right side
    6,684,672x = 188,328,853,103,616
  5. Step 5: Solve for x
    x = 188,328,853,103,616/6,684,672
  6. Step 6: Final answer
    x = 28,173,237.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.