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Finding the Third Proportional to 5,615,680 and 8,212,912

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Solution

The third proportional to 5,615,680 and 8,212,912 is: 12,011,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615,680 : 8,212,912 = 8,212,912 : x
  2. Step 2: Convert to fraction form
    5,615,680/8,212,912 = 8,212,912/x
  3. Step 3: Cross multiply
    5,615,680x = 8,212,912 × 8,212,912
  4. Step 4: Simplify right side
    5,615,680x = 67,451,923,519,744
  5. Step 5: Solve for x
    x = 67,451,923,519,744/5,615,680
  6. Step 6: Final answer
    x = 12,011,354.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.