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Finding the Third Proportional to 10,647,822.80 and 23,161,253.34

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Solution

The third proportional to 10,647,822.80 and 23,161,253.34 is: 50,380,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647,822.80 : 23,161,253.34 = 23,161,253.34 : x
  2. Step 2: Convert to fraction form
    10,647,822.80/23,161,253.34 = 23,161,253.34/x
  3. Step 3: Cross multiply
    10,647,822.80x = 23,161,253.34 × 23,161,253.34
  4. Step 4: Simplify right side
    10,647,822.80x = 536,443,656,453,370.56
  5. Step 5: Solve for x
    x = 536,443,656,453,370.56/10,647,822.80
  6. Step 6: Final answer
    x = 50,380,595.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.