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Finding the Third Proportional to 5,825,205.50 and 8,737,809

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Solution

The third proportional to 5,825,205.50 and 8,737,809 is: 13,106,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825,205.50 : 8,737,809 = 8,737,809 : x
  2. Step 2: Convert to fraction form
    5,825,205.50/8,737,809 = 8,737,809/x
  3. Step 3: Cross multiply
    5,825,205.50x = 8,737,809 × 8,737,809
  4. Step 4: Simplify right side
    5,825,205.50x = 76,349,306,120,481
  5. Step 5: Solve for x
    x = 76,349,306,120,481/5,825,205.50
  6. Step 6: Final answer
    x = 13,106,714.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.