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Finding the Third Proportional to 6,189,899 and 13,575,542

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Solution

The third proportional to 6,189,899 and 13,575,542 is: 29,773,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189,899 : 13,575,542 = 13,575,542 : x
  2. Step 2: Convert to fraction form
    6,189,899/13,575,542 = 13,575,542/x
  3. Step 3: Cross multiply
    6,189,899x = 13,575,542 × 13,575,542
  4. Step 4: Simplify right side
    6,189,899x = 184,295,340,593,764
  5. Step 5: Solve for x
    x = 184,295,340,593,764/6,189,899
  6. Step 6: Final answer
    x = 29,773,561.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.