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Finding the Third Proportional to 5,073,529,872 and 7,761,932,622

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Solution

The third proportional to 5,073,529,872 and 7,761,932,622 is: 11,874,887,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073,529,872 : 7,761,932,622 = 7,761,932,622 : x
  2. Step 2: Convert to fraction form
    5,073,529,872/7,761,932,622 = 7,761,932,622/x
  3. Step 3: Cross multiply
    5,073,529,872x = 7,761,932,622 × 7,761,932,622
  4. Step 4: Simplify right side
    5,073,529,872x = 60,247,598,028,467,798,016
  5. Step 5: Solve for x
    x = 60,247,598,028,467,798,016/5,073,529,872
  6. Step 6: Final answer
    x = 11,874,887,809.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.