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Finding the Third Proportional to 18,968,286.38 and 44,762,326.31

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Solution

The third proportional to 18,968,286.38 and 44,762,326.31 is: 105,632,412.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,968,286.38 : 44,762,326.31 = 44,762,326.31 : x
  2. Step 2: Convert to fraction form
    18,968,286.38/44,762,326.31 = 44,762,326.31/x
  3. Step 3: Cross multiply
    18,968,286.38x = 44,762,326.31 × 44,762,326.31
  4. Step 4: Simplify right side
    18,968,286.38x = 2,003,665,856,906,729.75
  5. Step 5: Solve for x
    x = 2,003,665,856,906,729.75/18,968,286.38
  6. Step 6: Final answer
    x = 105,632,412.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.