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Finding the Third Proportional to 3,365,165.25 and 5,046,478.88

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Solution

The third proportional to 3,365,165.25 and 5,046,478.88 is: 7,567,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365,165.25 : 5,046,478.88 = 5,046,478.88 : x
  2. Step 2: Convert to fraction form
    3,365,165.25/5,046,478.88 = 5,046,478.88/x
  3. Step 3: Cross multiply
    3,365,165.25x = 5,046,478.88 × 5,046,478.88
  4. Step 4: Simplify right side
    3,365,165.25x = 25,466,949,035,821.27
  5. Step 5: Solve for x
    x = 25,466,949,035,821.27/3,365,165.25
  6. Step 6: Final answer
    x = 7,567,815.29

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