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Finding the Third Proportional to 4,206,534 and 9,150,096

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Solution

The third proportional to 4,206,534 and 9,150,096 is: 19,903,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206,534 : 9,150,096 = 9,150,096 : x
  2. Step 2: Convert to fraction form
    4,206,534/9,150,096 = 9,150,096/x
  3. Step 3: Cross multiply
    4,206,534x = 9,150,096 × 9,150,096
  4. Step 4: Simplify right side
    4,206,534x = 83,724,256,809,216
  5. Step 5: Solve for x
    x = 83,724,256,809,216/4,206,534
  6. Step 6: Final answer
    x = 19,903,382.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.