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Finding the Third Proportional to 6,723,014 and 14,474,616

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Solution

The third proportional to 6,723,014 and 14,474,616 is: 31,163,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723,014 : 14,474,616 = 14,474,616 : x
  2. Step 2: Convert to fraction form
    6,723,014/14,474,616 = 14,474,616/x
  3. Step 3: Cross multiply
    6,723,014x = 14,474,616 × 14,474,616
  4. Step 4: Simplify right side
    6,723,014x = 209,514,508,347,456
  5. Step 5: Solve for x
    x = 209,514,508,347,456/6,723,014
  6. Step 6: Final answer
    x = 31,163,776.89

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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.