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Finding the Third Proportional to 8,378,966 and 12,812,110

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Solution

The third proportional to 8,378,966 and 12,812,110 is: 19,590,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,966 : 12,812,110 = 12,812,110 : x
  2. Step 2: Convert to fraction form
    8,378,966/12,812,110 = 12,812,110/x
  3. Step 3: Cross multiply
    8,378,966x = 12,812,110 × 12,812,110
  4. Step 4: Simplify right side
    8,378,966x = 164,150,162,652,100
  5. Step 5: Solve for x
    x = 164,150,162,652,100/8,378,966
  6. Step 6: Final answer
    x = 19,590,742.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.