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Finding the Third Proportional to 14,449,202 and 19,813,923

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Solution

The third proportional to 14,449,202 and 19,813,923 is: 27,170,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449,202 : 19,813,923 = 19,813,923 : x
  2. Step 2: Convert to fraction form
    14,449,202/19,813,923 = 19,813,923/x
  3. Step 3: Cross multiply
    14,449,202x = 19,813,923 × 19,813,923
  4. Step 4: Simplify right side
    14,449,202x = 392,591,544,649,929
  5. Step 5: Solve for x
    x = 392,591,544,649,929/14,449,202
  6. Step 6: Final answer
    x = 27,170,465.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.