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Finding the Third Proportional to 6,425,682 and 13,514,021

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Solution

The third proportional to 6,425,682 and 13,514,021 is: 28,421,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,682 : 13,514,021 = 13,514,021 : x
  2. Step 2: Convert to fraction form
    6,425,682/13,514,021 = 13,514,021/x
  3. Step 3: Cross multiply
    6,425,682x = 13,514,021 × 13,514,021
  4. Step 4: Simplify right side
    6,425,682x = 182,628,763,588,441
  5. Step 5: Solve for x
    x = 182,628,763,588,441/6,425,682
  6. Step 6: Final answer
    x = 28,421,693.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.