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Finding the Third Proportional to 51,082,537.50 and 76,548,894.75

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Solution

The third proportional to 51,082,537.50 and 76,548,894.75 is: 114,711,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082,537.50 : 76,548,894.75 = 76,548,894.75 : x
  2. Step 2: Convert to fraction form
    51,082,537.50/76,548,894.75 = 76,548,894.75/x
  3. Step 3: Cross multiply
    51,082,537.50x = 76,548,894.75 × 76,548,894.75
  4. Step 4: Simplify right side
    51,082,537.50x = 5,859,733,287,446,578
  5. Step 5: Solve for x
    x = 5,859,733,287,446,578/51,082,537.50
  6. Step 6: Final answer
    x = 114,711,084.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.