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Finding the Third Proportional to 5,381,140 and 11,707,064

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Solution

The third proportional to 5,381,140 and 11,707,064 is: 25,469,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381,140 : 11,707,064 = 11,707,064 : x
  2. Step 2: Convert to fraction form
    5,381,140/11,707,064 = 11,707,064/x
  3. Step 3: Cross multiply
    5,381,140x = 11,707,064 × 11,707,064
  4. Step 4: Simplify right side
    5,381,140x = 137,055,347,500,096
  5. Step 5: Solve for x
    x = 137,055,347,500,096/5,381,140
  6. Step 6: Final answer
    x = 25,469,574.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.