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Finding the Third Proportional to 29,097,198 and 48,493,372.50

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Solution

The third proportional to 29,097,198 and 48,493,372.50 is: 80,819,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,097,198 : 48,493,372.50 = 48,493,372.50 : x
  2. Step 2: Convert to fraction form
    29,097,198/48,493,372.50 = 48,493,372.50/x
  3. Step 3: Cross multiply
    29,097,198x = 48,493,372.50 × 48,493,372.50
  4. Step 4: Simplify right side
    29,097,198x = 2,351,607,176,423,756
  5. Step 5: Solve for x
    x = 2,351,607,176,423,756/29,097,198
  6. Step 6: Final answer
    x = 80,819,025.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.