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Finding the Third Proportional to 7,737,160.50 and 16,102,290

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Solution

The third proportional to 7,737,160.50 and 16,102,290 is: 33,511,485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737,160.50 : 16,102,290 = 16,102,290 : x
  2. Step 2: Convert to fraction form
    7,737,160.50/16,102,290 = 16,102,290/x
  3. Step 3: Cross multiply
    7,737,160.50x = 16,102,290 × 16,102,290
  4. Step 4: Simplify right side
    7,737,160.50x = 259,283,743,244,100
  5. Step 5: Solve for x
    x = 259,283,743,244,100/7,737,160.50
  6. Step 6: Final answer
    x = 33,511,485.67

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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.