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Finding the Third Proportional to 4,277,617 and 9,511,642

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Solution

The third proportional to 4,277,617 and 9,511,642 is: 21,149,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,617 : 9,511,642 = 9,511,642 : x
  2. Step 2: Convert to fraction form
    4,277,617/9,511,642 = 9,511,642/x
  3. Step 3: Cross multiply
    4,277,617x = 9,511,642 × 9,511,642
  4. Step 4: Simplify right side
    4,277,617x = 90,471,333,536,164
  5. Step 5: Solve for x
    x = 90,471,333,536,164/4,277,617
  6. Step 6: Final answer
    x = 21,149,937.81

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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.