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Finding the Third Proportional to 2,530,176 and 5,447,208

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Solution

The third proportional to 2,530,176 and 5,447,208 is: 11,727,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530,176 : 5,447,208 = 5,447,208 : x
  2. Step 2: Convert to fraction form
    2,530,176/5,447,208 = 5,447,208/x
  3. Step 3: Cross multiply
    2,530,176x = 5,447,208 × 5,447,208
  4. Step 4: Simplify right side
    2,530,176x = 29,672,074,995,264
  5. Step 5: Solve for x
    x = 29,672,074,995,264/2,530,176
  6. Step 6: Final answer
    x = 11,727,277.07

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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.