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Finding the Third Proportional to 22,254,678 and 47,448,927

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Solution

The third proportional to 22,254,678 and 47,448,927 is: 101,165,277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254,678 : 47,448,927 = 47,448,927 : x
  2. Step 2: Convert to fraction form
    22,254,678/47,448,927 = 47,448,927/x
  3. Step 3: Cross multiply
    22,254,678x = 47,448,927 × 47,448,927
  4. Step 4: Simplify right side
    22,254,678x = 2,251,400,673,451,329
  5. Step 5: Solve for x
    x = 2,251,400,673,451,329/22,254,678
  6. Step 6: Final answer
    x = 101,165,277.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.