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Finding the Third Proportional to 6,857,504.50 and 9,340,241.75

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Solution

The third proportional to 6,857,504.50 and 9,340,241.75 is: 12,721,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,504.50 : 9,340,241.75 = 9,340,241.75 : x
  2. Step 2: Convert to fraction form
    6,857,504.50/9,340,241.75 = 9,340,241.75/x
  3. Step 3: Cross multiply
    6,857,504.50x = 9,340,241.75 × 9,340,241.75
  4. Step 4: Simplify right side
    6,857,504.50x = 87,240,115,948,443.06
  5. Step 5: Solve for x
    x = 87,240,115,948,443.06/6,857,504.50
  6. Step 6: Final answer
    x = 12,721,845.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.