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Finding the Third Proportional to 5,189,974 and 8,264,625

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Solution

The third proportional to 5,189,974 and 8,264,625 is: 13,160,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189,974 : 8,264,625 = 8,264,625 : x
  2. Step 2: Convert to fraction form
    5,189,974/8,264,625 = 8,264,625/x
  3. Step 3: Cross multiply
    5,189,974x = 8,264,625 × 8,264,625
  4. Step 4: Simplify right side
    5,189,974x = 68,304,026,390,625
  5. Step 5: Solve for x
    x = 68,304,026,390,625/5,189,974
  6. Step 6: Final answer
    x = 13,160,764.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.