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Finding the Third Proportional to 5,147,268 and 11,092,314

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Solution

The third proportional to 5,147,268 and 11,092,314 is: 23,903,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,268 : 11,092,314 = 11,092,314 : x
  2. Step 2: Convert to fraction form
    5,147,268/11,092,314 = 11,092,314/x
  3. Step 3: Cross multiply
    5,147,268x = 11,092,314 × 11,092,314
  4. Step 4: Simplify right side
    5,147,268x = 123,039,429,874,596
  5. Step 5: Solve for x
    x = 123,039,429,874,596/5,147,268
  6. Step 6: Final answer
    x = 23,903,832.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.