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Finding the Third Proportional to 5,448,636 and 11,461,914

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Solution

The third proportional to 5,448,636 and 11,461,914 is: 24,111,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448,636 : 11,461,914 = 11,461,914 : x
  2. Step 2: Convert to fraction form
    5,448,636/11,461,914 = 11,461,914/x
  3. Step 3: Cross multiply
    5,448,636x = 11,461,914 × 11,461,914
  4. Step 4: Simplify right side
    5,448,636x = 131,375,472,543,396
  5. Step 5: Solve for x
    x = 131,375,472,543,396/5,448,636
  6. Step 6: Final answer
    x = 24,111,625.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.