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Finding the Third Proportional to 11,444,424 and 16,041,702

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Solution

The third proportional to 11,444,424 and 16,041,702 is: 22,485,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444,424 : 16,041,702 = 16,041,702 : x
  2. Step 2: Convert to fraction form
    11,444,424/16,041,702 = 16,041,702/x
  3. Step 3: Cross multiply
    11,444,424x = 16,041,702 × 16,041,702
  4. Step 4: Simplify right side
    11,444,424x = 257,336,203,056,804
  5. Step 5: Solve for x
    x = 257,336,203,056,804/11,444,424
  6. Step 6: Final answer
    x = 22,485,727.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.