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Finding the Third Proportional to 4,277,514 and 9,511,378

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Solution

The third proportional to 4,277,514 and 9,511,378 is: 21,149,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,514 : 9,511,378 = 9,511,378 : x
  2. Step 2: Convert to fraction form
    4,277,514/9,511,378 = 9,511,378/x
  3. Step 3: Cross multiply
    4,277,514x = 9,511,378 × 9,511,378
  4. Step 4: Simplify right side
    4,277,514x = 90,466,311,458,884
  5. Step 5: Solve for x
    x = 90,466,311,458,884/4,277,514
  6. Step 6: Final answer
    x = 21,149,273.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.