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Finding the Third Proportional to 8,198,980.31 and 17,942,468.63

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Solution

The third proportional to 8,198,980.31 and 17,942,468.63 is: 39,264,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,980.31 : 17,942,468.63 = 17,942,468.63 : x
  2. Step 2: Convert to fraction form
    8,198,980.31/17,942,468.63 = 17,942,468.63/x
  3. Step 3: Cross multiply
    8,198,980.31x = 17,942,468.63 × 17,942,468.63
  4. Step 4: Simplify right side
    8,198,980.31x = 321,932,180,359,109.38
  5. Step 5: Solve for x
    x = 321,932,180,359,109.38/8,198,980.31
  6. Step 6: Final answer
    x = 39,264,904.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.