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Finding the Third Proportional to 13,843,523 and 21,490,843

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Solution

The third proportional to 13,843,523 and 21,490,843 is: 33,362,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843,523 : 21,490,843 = 21,490,843 : x
  2. Step 2: Convert to fraction form
    13,843,523/21,490,843 = 21,490,843/x
  3. Step 3: Cross multiply
    13,843,523x = 21,490,843 × 21,490,843
  4. Step 4: Simplify right side
    13,843,523x = 461,856,332,850,649
  5. Step 5: Solve for x
    x = 461,856,332,850,649/13,843,523
  6. Step 6: Final answer
    x = 33,362,629.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.