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Finding the Third Proportional to 5,790,419 and 12,533,992

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Solution

The third proportional to 5,790,419 and 12,533,992 is: 27,131,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790,419 : 12,533,992 = 12,533,992 : x
  2. Step 2: Convert to fraction form
    5,790,419/12,533,992 = 12,533,992/x
  3. Step 3: Cross multiply
    5,790,419x = 12,533,992 × 12,533,992
  4. Step 4: Simplify right side
    5,790,419x = 157,100,955,456,064
  5. Step 5: Solve for x
    x = 157,100,955,456,064/5,790,419
  6. Step 6: Final answer
    x = 27,131,189.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.