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Finding the Third Proportional to 6,099,812 and 8,972,214

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Solution

The third proportional to 6,099,812 and 8,972,214 is: 13,197,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099,812 : 8,972,214 = 8,972,214 : x
  2. Step 2: Convert to fraction form
    6,099,812/8,972,214 = 8,972,214/x
  3. Step 3: Cross multiply
    6,099,812x = 8,972,214 × 8,972,214
  4. Step 4: Simplify right side
    6,099,812x = 80,500,624,061,796
  5. Step 5: Solve for x
    x = 80,500,624,061,796/6,099,812
  6. Step 6: Final answer
    x = 13,197,230.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.