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Finding the Third Proportional to 7,096,224 and 11,119,080

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Solution

The third proportional to 7,096,224 and 11,119,080 is: 17,422,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096,224 : 11,119,080 = 11,119,080 : x
  2. Step 2: Convert to fraction form
    7,096,224/11,119,080 = 11,119,080/x
  3. Step 3: Cross multiply
    7,096,224x = 11,119,080 × 11,119,080
  4. Step 4: Simplify right side
    7,096,224x = 123,633,940,046,400
  5. Step 5: Solve for x
    x = 123,633,940,046,400/7,096,224
  6. Step 6: Final answer
    x = 17,422,496.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.