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Finding the Third Proportional to 20,993,926 and 31,381,593

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Solution

The third proportional to 20,993,926 and 31,381,593 is: 46,909,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993,926 : 31,381,593 = 31,381,593 : x
  2. Step 2: Convert to fraction form
    20,993,926/31,381,593 = 31,381,593/x
  3. Step 3: Cross multiply
    20,993,926x = 31,381,593 × 31,381,593
  4. Step 4: Simplify right side
    20,993,926x = 984,804,379,217,649
  5. Step 5: Solve for x
    x = 984,804,379,217,649/20,993,926
  6. Step 6: Final answer
    x = 46,909,014.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.