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Finding the Third Proportional to 6,198,178 and 13,425,812

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Solution

The third proportional to 6,198,178 and 13,425,812 is: 29,081,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198,178 : 13,425,812 = 13,425,812 : x
  2. Step 2: Convert to fraction form
    6,198,178/13,425,812 = 13,425,812/x
  3. Step 3: Cross multiply
    6,198,178x = 13,425,812 × 13,425,812
  4. Step 4: Simplify right side
    6,198,178x = 180,252,427,859,344
  5. Step 5: Solve for x
    x = 180,252,427,859,344/6,198,178
  6. Step 6: Final answer
    x = 29,081,518.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.