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Finding the Third Proportional to 6,579,592 and 14,672,007

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Solution

The third proportional to 6,579,592 and 14,672,007 is: 32,717,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,592 : 14,672,007 = 14,672,007 : x
  2. Step 2: Convert to fraction form
    6,579,592/14,672,007 = 14,672,007/x
  3. Step 3: Cross multiply
    6,579,592x = 14,672,007 × 14,672,007
  4. Step 4: Simplify right side
    6,579,592x = 215,267,789,408,049
  5. Step 5: Solve for x
    x = 215,267,789,408,049/6,579,592
  6. Step 6: Final answer
    x = 32,717,498.20

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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.