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Finding the Third Proportional to 7,737,314 and 16,102,592

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Solution

The third proportional to 7,737,314 and 16,102,592 is: 33,512,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737,314 : 16,102,592 = 16,102,592 : x
  2. Step 2: Convert to fraction form
    7,737,314/16,102,592 = 16,102,592/x
  3. Step 3: Cross multiply
    7,737,314x = 16,102,592 × 16,102,592
  4. Step 4: Simplify right side
    7,737,314x = 259,293,469,118,464
  5. Step 5: Solve for x
    x = 259,293,469,118,464/7,737,314
  6. Step 6: Final answer
    x = 33,512,077.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.