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Finding the Third Proportional to 7,737,170.63 and 16,102,310.63

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Solution

The third proportional to 7,737,170.63 and 16,102,310.63 is: 33,511,527.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737,170.63 : 16,102,310.63 = 16,102,310.63 : x
  2. Step 2: Convert to fraction form
    7,737,170.63/16,102,310.63 = 16,102,310.63/x
  3. Step 3: Cross multiply
    7,737,170.63x = 16,102,310.63 × 16,102,310.63
  4. Step 4: Simplify right side
    7,737,170.63x = 259,284,407,463,987.88
  5. Step 5: Solve for x
    x = 259,284,407,463,987.88/7,737,170.63
  6. Step 6: Final answer
    x = 33,511,527.67

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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.