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Finding the Third Proportional to 47,587,296 and 102,078,240

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Solution

The third proportional to 47,587,296 and 102,078,240 is: 218,965,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,587,296 : 102,078,240 = 102,078,240 : x
  2. Step 2: Convert to fraction form
    47,587,296/102,078,240 = 102,078,240/x
  3. Step 3: Cross multiply
    47,587,296x = 102,078,240 × 102,078,240
  4. Step 4: Simplify right side
    47,587,296x = 10,419,967,081,497,600
  5. Step 5: Solve for x
    x = 10,419,967,081,497,600/47,587,296
  6. Step 6: Final answer
    x = 218,965,311.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.