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Finding the Third Proportional to 11,812,002 and 18,505,320

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Solution

The third proportional to 11,812,002 and 18,505,320 is: 28,991,433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812,002 : 18,505,320 = 18,505,320 : x
  2. Step 2: Convert to fraction form
    11,812,002/18,505,320 = 18,505,320/x
  3. Step 3: Cross multiply
    11,812,002x = 18,505,320 × 18,505,320
  4. Step 4: Simplify right side
    11,812,002x = 342,446,868,302,400
  5. Step 5: Solve for x
    x = 342,446,868,302,400/11,812,002
  6. Step 6: Final answer
    x = 28,991,433.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.