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Finding the Third Proportional to 3,000,882.94 and 7,080,663.09

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Solution

The third proportional to 3,000,882.94 and 7,080,663.09 is: 16,707,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,882.94 : 7,080,663.09 = 7,080,663.09 : x
  2. Step 2: Convert to fraction form
    3,000,882.94/7,080,663.09 = 7,080,663.09/x
  3. Step 3: Cross multiply
    3,000,882.94x = 7,080,663.09 × 7,080,663.09
  4. Step 4: Simplify right side
    3,000,882.94x = 50,135,789,847,193.32
  5. Step 5: Solve for x
    x = 50,135,789,847,193.32/3,000,882.94
  6. Step 6: Final answer
    x = 16,707,012.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.