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Finding the Third Proportional to 5,262,781.50 and 7,872,750

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Solution

The third proportional to 5,262,781.50 and 7,872,750 is: 11,777,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262,781.50 : 7,872,750 = 7,872,750 : x
  2. Step 2: Convert to fraction form
    5,262,781.50/7,872,750 = 7,872,750/x
  3. Step 3: Cross multiply
    5,262,781.50x = 7,872,750 × 7,872,750
  4. Step 4: Simplify right side
    5,262,781.50x = 61,980,192,562,500
  5. Step 5: Solve for x
    x = 61,980,192,562,500/5,262,781.50
  6. Step 6: Final answer
    x = 11,777,078.82

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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.