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Finding the Third Proportional to 12,082,431 and 18,299,133

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Solution

The third proportional to 12,082,431 and 18,299,133 is: 27,714,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,431 : 18,299,133 = 18,299,133 : x
  2. Step 2: Convert to fraction form
    12,082,431/18,299,133 = 18,299,133/x
  3. Step 3: Cross multiply
    12,082,431x = 18,299,133 × 18,299,133
  4. Step 4: Simplify right side
    12,082,431x = 334,858,268,551,689
  5. Step 5: Solve for x
    x = 334,858,268,551,689/12,082,431
  6. Step 6: Final answer
    x = 27,714,478.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.