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Finding the Third Proportional to 6,104,697 and 12,711,761

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Solution

The third proportional to 6,104,697 and 12,711,761 is: 26,469,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,697 : 12,711,761 = 12,711,761 : x
  2. Step 2: Convert to fraction form
    6,104,697/12,711,761 = 12,711,761/x
  3. Step 3: Cross multiply
    6,104,697x = 12,711,761 × 12,711,761
  4. Step 4: Simplify right side
    6,104,697x = 161,588,867,721,121
  5. Step 5: Solve for x
    x = 161,588,867,721,121/6,104,697
  6. Step 6: Final answer
    x = 26,469,596.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.