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Finding the Third Proportional to 3,237,672.75 and 6,965,253.75

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Solution

The third proportional to 3,237,672.75 and 6,965,253.75 is: 14,984,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,672.75 : 6,965,253.75 = 6,965,253.75 : x
  2. Step 2: Convert to fraction form
    3,237,672.75/6,965,253.75 = 6,965,253.75/x
  3. Step 3: Cross multiply
    3,237,672.75x = 6,965,253.75 × 6,965,253.75
  4. Step 4: Simplify right side
    3,237,672.75x = 48,514,759,801,889.06
  5. Step 5: Solve for x
    x = 48,514,759,801,889.06/3,237,672.75
  6. Step 6: Final answer
    x = 14,984,454.44

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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.