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Finding the Third Proportional to 6,389,715 and 13,753,743

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Solution

The third proportional to 6,389,715 and 13,753,743 is: 29,604,676.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,715 : 13,753,743 = 13,753,743 : x
  2. Step 2: Convert to fraction form
    6,389,715/13,753,743 = 13,753,743/x
  3. Step 3: Cross multiply
    6,389,715x = 13,753,743 × 13,753,743
  4. Step 4: Simplify right side
    6,389,715x = 189,165,446,510,049
  5. Step 5: Solve for x
    x = 189,165,446,510,049/6,389,715
  6. Step 6: Final answer
    x = 29,604,676.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.