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Finding the Third Proportional to 2,555,442 and 5,465,451

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Solution

The third proportional to 2,555,442 and 5,465,451 is: 11,689,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,442 : 5,465,451 = 5,465,451 : x
  2. Step 2: Convert to fraction form
    2,555,442/5,465,451 = 5,465,451/x
  3. Step 3: Cross multiply
    2,555,442x = 5,465,451 × 5,465,451
  4. Step 4: Simplify right side
    2,555,442x = 29,871,154,633,401
  5. Step 5: Solve for x
    x = 29,871,154,633,401/2,555,442
  6. Step 6: Final answer
    x = 11,689,232.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.