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Finding the Third Proportional to 3,818,215,449 and 8,219,973,103

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Solution

The third proportional to 3,818,215,449 and 8,219,973,103 is: 17,696,214,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818,215,449 : 8,219,973,103 = 8,219,973,103 : x
  2. Step 2: Convert to fraction form
    3,818,215,449/8,219,973,103 = 8,219,973,103/x
  3. Step 3: Cross multiply
    3,818,215,449x = 8,219,973,103 × 8,219,973,103
  4. Step 4: Simplify right side
    3,818,215,449x = 67,567,957,814,043,451,392
  5. Step 5: Solve for x
    x = 67,567,957,814,043,451,392/3,818,215,449
  6. Step 6: Final answer
    x = 17,696,214,034.16

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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.