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Finding the Third Proportional to 47,682,543 and 102,987,873

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Solution

The third proportional to 47,682,543 and 102,987,873 is: 222,439,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,682,543 : 102,987,873 = 102,987,873 : x
  2. Step 2: Convert to fraction form
    47,682,543/102,987,873 = 102,987,873/x
  3. Step 3: Cross multiply
    47,682,543x = 102,987,873 × 102,987,873
  4. Step 4: Simplify right side
    47,682,543x = 10,606,501,985,064,128
  5. Step 5: Solve for x
    x = 10,606,501,985,064,128/47,682,543
  6. Step 6: Final answer
    x = 222,439,939.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.