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Finding the Third Proportional to 6,982,657 and 10,837,089

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Solution

The third proportional to 6,982,657 and 10,837,089 is: 16,819,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982,657 : 10,837,089 = 10,837,089 : x
  2. Step 2: Convert to fraction form
    6,982,657/10,837,089 = 10,837,089/x
  3. Step 3: Cross multiply
    6,982,657x = 10,837,089 × 10,837,089
  4. Step 4: Simplify right side
    6,982,657x = 117,442,497,993,921
  5. Step 5: Solve for x
    x = 117,442,497,993,921/6,982,657
  6. Step 6: Final answer
    x = 16,819,170.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.