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Finding the Third Proportional to 8,642,349.11 and 18,083,670.82

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Solution

The third proportional to 8,642,349.11 and 18,083,670.82 is: 37,839,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642,349.11 : 18,083,670.82 = 18,083,670.82 : x
  2. Step 2: Convert to fraction form
    8,642,349.11/18,083,670.82 = 18,083,670.82/x
  3. Step 3: Cross multiply
    8,642,349.11x = 18,083,670.82 × 18,083,670.82
  4. Step 4: Simplify right side
    8,642,349.11x = 327,019,150,337,403.69
  5. Step 5: Solve for x
    x = 327,019,150,337,403.69/8,642,349.11
  6. Step 6: Final answer
    x = 37,839,150.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.