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Finding the Third Proportional to 14,410,207 and 31,379,005

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Solution

The third proportional to 14,410,207 and 31,379,005 is: 68,329,480.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410,207 : 31,379,005 = 31,379,005 : x
  2. Step 2: Convert to fraction form
    14,410,207/31,379,005 = 31,379,005/x
  3. Step 3: Cross multiply
    14,410,207x = 31,379,005 × 31,379,005
  4. Step 4: Simplify right side
    14,410,207x = 984,641,954,790,025
  5. Step 5: Solve for x
    x = 984,641,954,790,025/14,410,207
  6. Step 6: Final answer
    x = 68,329,480.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.