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Finding the Third Proportional to 6,389,672.25 and 13,753,650.75

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Solution

The third proportional to 6,389,672.25 and 13,753,650.75 is: 29,604,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,672.25 : 13,753,650.75 = 13,753,650.75 : x
  2. Step 2: Convert to fraction form
    6,389,672.25/13,753,650.75 = 13,753,650.75/x
  3. Step 3: Cross multiply
    6,389,672.25x = 13,753,650.75 × 13,753,650.75
  4. Step 4: Simplify right side
    6,389,672.25x = 189,162,908,952,975.56
  5. Step 5: Solve for x
    x = 189,162,908,952,975.56/6,389,672.25
  6. Step 6: Final answer
    x = 29,604,477.59

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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.