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Finding the Third Proportional to 4,795,077 and 10,270,311

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Solution

The third proportional to 4,795,077 and 10,270,311 is: 21,997,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795,077 : 10,270,311 = 10,270,311 : x
  2. Step 2: Convert to fraction form
    4,795,077/10,270,311 = 10,270,311/x
  3. Step 3: Cross multiply
    4,795,077x = 10,270,311 × 10,270,311
  4. Step 4: Simplify right side
    4,795,077x = 105,479,288,036,721
  5. Step 5: Solve for x
    x = 105,479,288,036,721/4,795,077
  6. Step 6: Final answer
    x = 21,997,412.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.