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Finding the Third Proportional to 19,451,296 and 45,026,272

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Solution

The third proportional to 19,451,296 and 45,026,272 is: 104,227,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451,296 : 45,026,272 = 45,026,272 : x
  2. Step 2: Convert to fraction form
    19,451,296/45,026,272 = 45,026,272/x
  3. Step 3: Cross multiply
    19,451,296x = 45,026,272 × 45,026,272
  4. Step 4: Simplify right side
    19,451,296x = 2,027,365,170,217,984
  5. Step 5: Solve for x
    x = 2,027,365,170,217,984/19,451,296
  6. Step 6: Final answer
    x = 104,227,768.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.