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Finding the Third Proportional to 6,854,171.25 and 10,647,314.63

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Solution

The third proportional to 6,854,171.25 and 10,647,314.63 is: 16,539,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854,171.25 : 10,647,314.63 = 10,647,314.63 : x
  2. Step 2: Convert to fraction form
    6,854,171.25/10,647,314.63 = 10,647,314.63/x
  3. Step 3: Cross multiply
    6,854,171.25x = 10,647,314.63 × 10,647,314.63
  4. Step 4: Simplify right side
    6,854,171.25x = 113,365,308,723,738.89
  5. Step 5: Solve for x
    x = 113,365,308,723,738.89/6,854,171.25
  6. Step 6: Final answer
    x = 16,539,608.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.