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Finding the Third Proportional to 13,728,738 and 18,624,276

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Solution

The third proportional to 13,728,738 and 18,624,276 is: 25,265,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728,738 : 18,624,276 = 18,624,276 : x
  2. Step 2: Convert to fraction form
    13,728,738/18,624,276 = 18,624,276/x
  3. Step 3: Cross multiply
    13,728,738x = 18,624,276 × 18,624,276
  4. Step 4: Simplify right side
    13,728,738x = 346,863,656,524,176
  5. Step 5: Solve for x
    x = 346,863,656,524,176/13,728,738
  6. Step 6: Final answer
    x = 25,265,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.