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Finding the Third Proportional to 6,425,693 and 13,514,044

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Solution

The third proportional to 6,425,693 and 13,514,044 is: 28,421,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425,693 : 13,514,044 = 13,514,044 : x
  2. Step 2: Convert to fraction form
    6,425,693/13,514,044 = 13,514,044/x
  3. Step 3: Cross multiply
    6,425,693x = 13,514,044 × 13,514,044
  4. Step 4: Simplify right side
    6,425,693x = 182,629,385,233,936
  5. Step 5: Solve for x
    x = 182,629,385,233,936/6,425,693
  6. Step 6: Final answer
    x = 28,421,741.47

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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.