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Finding the Third Proportional to 4,745,726 and 11,197,991

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Solution

The third proportional to 4,745,726 and 11,197,991 is: 26,422,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745,726 : 11,197,991 = 11,197,991 : x
  2. Step 2: Convert to fraction form
    4,745,726/11,197,991 = 11,197,991/x
  3. Step 3: Cross multiply
    4,745,726x = 11,197,991 × 11,197,991
  4. Step 4: Simplify right side
    4,745,726x = 125,395,002,436,081
  5. Step 5: Solve for x
    x = 125,395,002,436,081/4,745,726
  6. Step 6: Final answer
    x = 26,422,722.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.