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Finding the Third Proportional to 9,882,049 and 21,413,617

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Solution

The third proportional to 9,882,049 and 21,413,617 is: 46,401,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882,049 : 21,413,617 = 21,413,617 : x
  2. Step 2: Convert to fraction form
    9,882,049/21,413,617 = 21,413,617/x
  3. Step 3: Cross multiply
    9,882,049x = 21,413,617 × 21,413,617
  4. Step 4: Simplify right side
    9,882,049x = 458,542,993,022,689
  5. Step 5: Solve for x
    x = 458,542,993,022,689/9,882,049
  6. Step 6: Final answer
    x = 46,401,610.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.