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Finding the Third Proportional to 12,380,646 and 27,808,716

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Solution

The third proportional to 12,380,646 and 27,808,716 is: 62,462,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,646 : 27,808,716 = 27,808,716 : x
  2. Step 2: Convert to fraction form
    12,380,646/27,808,716 = 27,808,716/x
  3. Step 3: Cross multiply
    12,380,646x = 27,808,716 × 27,808,716
  4. Step 4: Simplify right side
    12,380,646x = 773,324,685,568,656
  5. Step 5: Solve for x
    x = 773,324,685,568,656/12,380,646
  6. Step 6: Final answer
    x = 62,462,385.69

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.