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Finding the Third Proportional to 14,469,900 and 23,033,253

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Solution

The third proportional to 14,469,900 and 23,033,253 is: 36,664,437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469,900 : 23,033,253 = 23,033,253 : x
  2. Step 2: Convert to fraction form
    14,469,900/23,033,253 = 23,033,253/x
  3. Step 3: Cross multiply
    14,469,900x = 23,033,253 × 23,033,253
  4. Step 4: Simplify right side
    14,469,900x = 530,530,743,762,009
  5. Step 5: Solve for x
    x = 530,530,743,762,009/14,469,900
  6. Step 6: Final answer
    x = 36,664,437.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.