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Finding the Third Proportional to 12,734,205 and 27,485,049

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Solution

The third proportional to 12,734,205 and 27,485,049 is: 59,322,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734,205 : 27,485,049 = 27,485,049 : x
  2. Step 2: Convert to fraction form
    12,734,205/27,485,049 = 27,485,049/x
  3. Step 3: Cross multiply
    12,734,205x = 27,485,049 × 27,485,049
  4. Step 4: Simplify right side
    12,734,205x = 755,427,918,532,401
  5. Step 5: Solve for x
    x = 755,427,918,532,401/12,734,205
  6. Step 6: Final answer
    x = 59,322,738.92

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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.