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Finding the Third Proportional to 4,851,200 and 9,844,951

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Solution

The third proportional to 4,851,200 and 9,844,951 is: 19,979,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,200 : 9,844,951 = 9,844,951 : x
  2. Step 2: Convert to fraction form
    4,851,200/9,844,951 = 9,844,951/x
  3. Step 3: Cross multiply
    4,851,200x = 9,844,951 × 9,844,951
  4. Step 4: Simplify right side
    4,851,200x = 96,923,060,192,401
  5. Step 5: Solve for x
    x = 96,923,060,192,401/4,851,200
  6. Step 6: Final answer
    x = 19,979,192.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.