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Finding the Third Proportional to 5,448,669 and 11,561,498

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Solution

The third proportional to 5,448,669 and 11,561,498 is: 24,532,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448,669 : 11,561,498 = 11,561,498 : x
  2. Step 2: Convert to fraction form
    5,448,669/11,561,498 = 11,561,498/x
  3. Step 3: Cross multiply
    5,448,669x = 11,561,498 × 11,561,498
  4. Step 4: Simplify right side
    5,448,669x = 133,668,236,004,004
  5. Step 5: Solve for x
    x = 133,668,236,004,004/5,448,669
  6. Step 6: Final answer
    x = 24,532,273.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.