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Finding the Third Proportional to 6,579,589.50 and 14,672,002.08

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Solution

The third proportional to 6,579,589.50 and 14,672,002.08 is: 32,717,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,589.50 : 14,672,002.08 = 14,672,002.08 : x
  2. Step 2: Convert to fraction form
    6,579,589.50/14,672,002.08 = 14,672,002.08/x
  3. Step 3: Cross multiply
    6,579,589.50x = 14,672,002.08 × 14,672,002.08
  4. Step 4: Simplify right side
    6,579,589.50x = 215,267,644,980,504.31
  5. Step 5: Solve for x
    x = 215,267,644,980,504.31/6,579,589.50
  6. Step 6: Final answer
    x = 32,717,488.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.