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Finding the Third Proportional to 4,277,509 and 9,511,366

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Solution

The third proportional to 4,277,509 and 9,511,366 is: 21,149,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,509 : 9,511,366 = 9,511,366 : x
  2. Step 2: Convert to fraction form
    4,277,509/9,511,366 = 9,511,366/x
  3. Step 3: Cross multiply
    4,277,509x = 9,511,366 × 9,511,366
  4. Step 4: Simplify right side
    4,277,509x = 90,466,083,185,956
  5. Step 5: Solve for x
    x = 90,466,083,185,956/4,277,509
  6. Step 6: Final answer
    x = 21,149,244.38

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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.