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Finding the Third Proportional to 11,812,004 and 18,505,323

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Solution

The third proportional to 11,812,004 and 18,505,323 is: 28,991,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812,004 : 18,505,323 = 18,505,323 : x
  2. Step 2: Convert to fraction form
    11,812,004/18,505,323 = 18,505,323/x
  3. Step 3: Cross multiply
    11,812,004x = 18,505,323 × 18,505,323
  4. Step 4: Simplify right side
    11,812,004x = 342,446,979,334,329
  5. Step 5: Solve for x
    x = 342,446,979,334,329/11,812,004
  6. Step 6: Final answer
    x = 28,991,437.81

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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.