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Finding the Third Proportional to 5,652,083.06 and 12,261,175.31

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Solution

The third proportional to 5,652,083.06 and 12,261,175.31 is: 26,598,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652,083.06 : 12,261,175.31 = 12,261,175.31 : x
  2. Step 2: Convert to fraction form
    5,652,083.06/12,261,175.31 = 12,261,175.31/x
  3. Step 3: Cross multiply
    5,652,083.06x = 12,261,175.31 × 12,261,175.31
  4. Step 4: Simplify right side
    5,652,083.06x = 150,336,420,043,859.47
  5. Step 5: Solve for x
    x = 150,336,420,043,859.47/5,652,083.06
  6. Step 6: Final answer
    x = 26,598,409.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.