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Finding the Third Proportional to 2,493,669 and 5,368,743

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Solution

The third proportional to 2,493,669 and 5,368,743 is: 11,558,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493,669 : 5,368,743 = 5,368,743 : x
  2. Step 2: Convert to fraction form
    2,493,669/5,368,743 = 5,368,743/x
  3. Step 3: Cross multiply
    2,493,669x = 5,368,743 × 5,368,743
  4. Step 4: Simplify right side
    2,493,669x = 28,823,401,400,049
  5. Step 5: Solve for x
    x = 28,823,401,400,049/2,493,669
  6. Step 6: Final answer
    x = 11,558,631.64

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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.