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Finding the Third Proportional to 5,797,206 and 12,593,322

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Solution

The third proportional to 5,797,206 and 12,593,322 is: 27,356,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797,206 : 12,593,322 = 12,593,322 : x
  2. Step 2: Convert to fraction form
    5,797,206/12,593,322 = 12,593,322/x
  3. Step 3: Cross multiply
    5,797,206x = 12,593,322 × 12,593,322
  4. Step 4: Simplify right side
    5,797,206x = 158,591,758,995,684
  5. Step 5: Solve for x
    x = 158,591,758,995,684/5,797,206
  6. Step 6: Final answer
    x = 27,356,585.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.