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Finding the Third Proportional to 47,269,225,086 and 102,382,536,828

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Solution

The third proportional to 47,269,225,086 and 102,382,536,828 is: 221,754,933,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269,225,086 : 102,382,536,828 = 102,382,536,828 : x
  2. Step 2: Convert to fraction form
    47,269,225,086/102,382,536,828 = 102,382,536,828/x
  3. Step 3: Cross multiply
    47,269,225,086x = 102,382,536,828 × 102,382,536,828
  4. Step 4: Simplify right side
    47,269,225,086x = 10,482,183,847,336,776,564,736
  5. Step 5: Solve for x
    x = 10,482,183,847,336,776,564,736/47,269,225,086
  6. Step 6: Final answer
    x = 221,754,933,114.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.