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Finding the Third Proportional to 6,188,836.50 and 9,294,945.75

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Solution

The third proportional to 6,188,836.50 and 9,294,945.75 is: 13,959,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188,836.50 : 9,294,945.75 = 9,294,945.75 : x
  2. Step 2: Convert to fraction form
    6,188,836.50/9,294,945.75 = 9,294,945.75/x
  3. Step 3: Cross multiply
    6,188,836.50x = 9,294,945.75 × 9,294,945.75
  4. Step 4: Simplify right side
    6,188,836.50x = 86,396,016,495,443.06
  5. Step 5: Solve for x
    x = 86,396,016,495,443.06/6,188,836.50
  6. Step 6: Final answer
    x = 13,959,977.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.