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Finding the Third Proportional to 4,277,499.75 and 9,511,353

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Solution

The third proportional to 4,277,499.75 and 9,511,353 is: 21,149,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,499.75 : 9,511,353 = 9,511,353 : x
  2. Step 2: Convert to fraction form
    4,277,499.75/9,511,353 = 9,511,353/x
  3. Step 3: Cross multiply
    4,277,499.75x = 9,511,353 × 9,511,353
  4. Step 4: Simplify right side
    4,277,499.75x = 90,465,835,890,609
  5. Step 5: Solve for x
    x = 90,465,835,890,609/4,277,499.75
  6. Step 6: Final answer
    x = 21,149,232.30

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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.