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Finding the Third Proportional to 2,466,025 and 5,403,471

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Solution

The third proportional to 2,466,025 and 5,403,471 is: 11,839,903.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,025 : 5,403,471 = 5,403,471 : x
  2. Step 2: Convert to fraction form
    2,466,025/5,403,471 = 5,403,471/x
  3. Step 3: Cross multiply
    2,466,025x = 5,403,471 × 5,403,471
  4. Step 4: Simplify right side
    2,466,025x = 29,197,498,847,841
  5. Step 5: Solve for x
    x = 29,197,498,847,841/2,466,025
  6. Step 6: Final answer
    x = 11,839,903.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.