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Finding the Third Proportional to 6,138,109 and 8,534,550

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Solution

The third proportional to 6,138,109 and 8,534,550 is: 11,866,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138,109 : 8,534,550 = 8,534,550 : x
  2. Step 2: Convert to fraction form
    6,138,109/8,534,550 = 8,534,550/x
  3. Step 3: Cross multiply
    6,138,109x = 8,534,550 × 8,534,550
  4. Step 4: Simplify right side
    6,138,109x = 72,838,543,702,500
  5. Step 5: Solve for x
    x = 72,838,543,702,500/6,138,109
  6. Step 6: Final answer
    x = 11,866,609.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.