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Finding the Third Proportional to 3,237,663.66 and 6,965,245.69

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Solution

The third proportional to 3,237,663.66 and 6,965,245.69 is: 14,984,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,663.66 : 6,965,245.69 = 6,965,245.69 : x
  2. Step 2: Convert to fraction form
    3,237,663.66/6,965,245.69 = 6,965,245.69/x
  3. Step 3: Cross multiply
    3,237,663.66x = 6,965,245.69 × 6,965,245.69
  4. Step 4: Simplify right side
    3,237,663.66x = 48,514,647,487,237.34
  5. Step 5: Solve for x
    x = 48,514,647,487,237.34/3,237,663.66
  6. Step 6: Final answer
    x = 14,984,461.83

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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.