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Finding the Third Proportional to 32,504,872 and 67,700,172.50

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Solution

The third proportional to 32,504,872 and 67,700,172.50 is: 141,003,888.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504,872 : 67,700,172.50 = 67,700,172.50 : x
  2. Step 2: Convert to fraction form
    32,504,872/67,700,172.50 = 67,700,172.50/x
  3. Step 3: Cross multiply
    32,504,872x = 67,700,172.50 × 67,700,172.50
  4. Step 4: Simplify right side
    32,504,872x = 4,583,313,356,529,756
  5. Step 5: Solve for x
    x = 4,583,313,356,529,756/32,504,872
  6. Step 6: Final answer
    x = 141,003,888.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.