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Finding the Third Proportional to 8,183,736 and 13,638,996

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Solution

The third proportional to 8,183,736 and 13,638,996 is: 22,730,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183,736 : 13,638,996 = 13,638,996 : x
  2. Step 2: Convert to fraction form
    8,183,736/13,638,996 = 13,638,996/x
  3. Step 3: Cross multiply
    8,183,736x = 13,638,996 × 13,638,996
  4. Step 4: Simplify right side
    8,183,736x = 186,022,211,888,016
  5. Step 5: Solve for x
    x = 186,022,211,888,016/8,183,736
  6. Step 6: Final answer
    x = 22,730,720.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.