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Finding the Third Proportional to 1,348,898,625 and 2,023,347,800

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Solution

The third proportional to 1,348,898,625 and 2,023,347,800 is: 3,035,021,493.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,898,625 : 2,023,347,800 = 2,023,347,800 : x
  2. Step 2: Convert to fraction form
    1,348,898,625/2,023,347,800 = 2,023,347,800/x
  3. Step 3: Cross multiply
    1,348,898,625x = 2,023,347,800 × 2,023,347,800
  4. Step 4: Simplify right side
    1,348,898,625x = 4,093,936,319,764,839,936
  5. Step 5: Solve for x
    x = 4,093,936,319,764,839,936/1,348,898,625
  6. Step 6: Final answer
    x = 3,035,021,493.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.