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Finding the Third Proportional to 51,082,536 and 76,548,892.50

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Solution

The third proportional to 51,082,536 and 76,548,892.50 is: 114,711,081.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,082,536 : 76,548,892.50 = 76,548,892.50 : x
  2. Step 2: Convert to fraction form
    51,082,536/76,548,892.50 = 76,548,892.50/x
  3. Step 3: Cross multiply
    51,082,536x = 76,548,892.50 × 76,548,892.50
  4. Step 4: Simplify right side
    51,082,536x = 5,859,732,942,976,556
  5. Step 5: Solve for x
    x = 5,859,732,942,976,556/51,082,536
  6. Step 6: Final answer
    x = 114,711,081.36

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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.