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Finding the Third Proportional to 3,833,128.31 and 8,198,107.69

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Solution

The third proportional to 3,833,128.31 and 8,198,107.69 is: 17,533,712.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,128.31 : 8,198,107.69 = 8,198,107.69 : x
  2. Step 2: Convert to fraction form
    3,833,128.31/8,198,107.69 = 8,198,107.69/x
  3. Step 3: Cross multiply
    3,833,128.31x = 8,198,107.69 × 8,198,107.69
  4. Step 4: Simplify right side
    3,833,128.31x = 67,208,969,655,846.59
  5. Step 5: Solve for x
    x = 67,208,969,655,846.59/3,833,128.31
  6. Step 6: Final answer
    x = 17,533,712.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.