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Finding the Third Proportional to 3,786,056 and 8,214,280

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Solution

The third proportional to 3,786,056 and 8,214,280 is: 17,821,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786,056 : 8,214,280 = 8,214,280 : x
  2. Step 2: Convert to fraction form
    3,786,056/8,214,280 = 8,214,280/x
  3. Step 3: Cross multiply
    3,786,056x = 8,214,280 × 8,214,280
  4. Step 4: Simplify right side
    3,786,056x = 67,474,395,918,400
  5. Step 5: Solve for x
    x = 67,474,395,918,400/3,786,056
  6. Step 6: Final answer
    x = 17,821,816.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.