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Finding the Third Proportional to 6,425,680 and 13,514,018

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Solution

The third proportional to 6,425,680 and 13,514,018 is: 28,421,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,680 : 13,514,018 = 13,514,018 : x
  2. Step 2: Convert to fraction form
    6,425,680/13,514,018 = 13,514,018/x
  3. Step 3: Cross multiply
    6,425,680x = 13,514,018 × 13,514,018
  4. Step 4: Simplify right side
    6,425,680x = 182,628,682,504,324
  5. Step 5: Solve for x
    x = 182,628,682,504,324/6,425,680
  6. Step 6: Final answer
    x = 28,421,689.61

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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.