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Finding the Third Proportional to 10,345,198.50 and 22,481,145

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Solution

The third proportional to 10,345,198.50 and 22,481,145 is: 48,853,763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345,198.50 : 22,481,145 = 22,481,145 : x
  2. Step 2: Convert to fraction form
    10,345,198.50/22,481,145 = 22,481,145/x
  3. Step 3: Cross multiply
    10,345,198.50x = 22,481,145 × 22,481,145
  4. Step 4: Simplify right side
    10,345,198.50x = 505,401,880,511,025
  5. Step 5: Solve for x
    x = 505,401,880,511,025/10,345,198.50
  6. Step 6: Final answer
    x = 48,853,763.46

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Why These Related Problems?

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