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Finding the Third Proportional to 47,344,682 and 101,880,218

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Solution

The third proportional to 47,344,682 and 101,880,218 is: 219,234,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344,682 : 101,880,218 = 101,880,218 : x
  2. Step 2: Convert to fraction form
    47,344,682/101,880,218 = 101,880,218/x
  3. Step 3: Cross multiply
    47,344,682x = 101,880,218 × 101,880,218
  4. Step 4: Simplify right side
    47,344,682x = 10,379,578,819,727,524
  5. Step 5: Solve for x
    x = 10,379,578,819,727,524/47,344,682
  6. Step 6: Final answer
    x = 219,234,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.