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Finding the Third Proportional to 3,598,163,224 and 8,023,191,849

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Solution

The third proportional to 3,598,163,224 and 8,023,191,849 is: 17,890,129,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598,163,224 : 8,023,191,849 = 8,023,191,849 : x
  2. Step 2: Convert to fraction form
    3,598,163,224/8,023,191,849 = 8,023,191,849/x
  3. Step 3: Cross multiply
    3,598,163,224x = 8,023,191,849 × 8,023,191,849
  4. Step 4: Simplify right side
    3,598,163,224x = 64,371,607,445,860,040,704
  5. Step 5: Solve for x
    x = 64,371,607,445,860,040,704/3,598,163,224
  6. Step 6: Final answer
    x = 17,890,129,890.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.