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Finding the Third Proportional to 47,342,340 and 101,998,032

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Solution

The third proportional to 47,342,340 and 101,998,032 is: 219,752,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,342,340 : 101,998,032 = 101,998,032 : x
  2. Step 2: Convert to fraction form
    47,342,340/101,998,032 = 101,998,032/x
  3. Step 3: Cross multiply
    47,342,340x = 101,998,032 × 101,998,032
  4. Step 4: Simplify right side
    47,342,340x = 10,403,598,531,873,024
  5. Step 5: Solve for x
    x = 10,403,598,531,873,024/47,342,340
  6. Step 6: Final answer
    x = 219,752,520.30

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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.