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Finding the Third Proportional to 6,425,757 and 13,514,175

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Solution

The third proportional to 6,425,757 and 13,514,175 is: 28,422,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,757 : 13,514,175 = 13,514,175 : x
  2. Step 2: Convert to fraction form
    6,425,757/13,514,175 = 13,514,175/x
  3. Step 3: Cross multiply
    6,425,757x = 13,514,175 × 13,514,175
  4. Step 4: Simplify right side
    6,425,757x = 182,632,925,930,625
  5. Step 5: Solve for x
    x = 182,632,925,930,625/6,425,757
  6. Step 6: Final answer
    x = 28,422,009.41

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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.