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Finding the Third Proportional to 13,954,900 and 18,848,381

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Solution

The third proportional to 13,954,900 and 18,848,381 is: 25,457,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954,900 : 18,848,381 = 18,848,381 : x
  2. Step 2: Convert to fraction form
    13,954,900/18,848,381 = 18,848,381/x
  3. Step 3: Cross multiply
    13,954,900x = 18,848,381 × 18,848,381
  4. Step 4: Simplify right side
    13,954,900x = 355,261,466,321,161
  5. Step 5: Solve for x
    x = 355,261,466,321,161/13,954,900
  6. Step 6: Final answer
    x = 25,457,829.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.