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Finding the Third Proportional to 2,737,596.50 and 6,337,358.75

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Solution

The third proportional to 2,737,596.50 and 6,337,358.75 is: 14,670,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737,596.50 : 6,337,358.75 = 6,337,358.75 : x
  2. Step 2: Convert to fraction form
    2,737,596.50/6,337,358.75 = 6,337,358.75/x
  3. Step 3: Cross multiply
    2,737,596.50x = 6,337,358.75 × 6,337,358.75
  4. Step 4: Simplify right side
    2,737,596.50x = 40,162,115,926,201.56
  5. Step 5: Solve for x
    x = 40,162,115,926,201.56/2,737,596.50
  6. Step 6: Final answer
    x = 14,670,575.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.