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Finding the Third Proportional to 3,135,793.50 and 6,648,388.88

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Solution

The third proportional to 3,135,793.50 and 6,648,388.88 is: 14,095,658.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,793.50 : 6,648,388.88 = 6,648,388.88 : x
  2. Step 2: Convert to fraction form
    3,135,793.50/6,648,388.88 = 6,648,388.88/x
  3. Step 3: Cross multiply
    3,135,793.50x = 6,648,388.88 × 6,648,388.88
  4. Step 4: Simplify right side
    3,135,793.50x = 44,201,074,633,223.77
  5. Step 5: Solve for x
    x = 44,201,074,633,223.77/3,135,793.50
  6. Step 6: Final answer
    x = 14,095,658.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.