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Finding the Third Proportional to 13,227,777,993 and 19,593,705,861

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Solution

The third proportional to 13,227,777,993 and 19,593,705,861 is: 29,023,265,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227,777,993 : 19,593,705,861 = 19,593,705,861 : x
  2. Step 2: Convert to fraction form
    13,227,777,993/19,593,705,861 = 19,593,705,861/x
  3. Step 3: Cross multiply
    13,227,777,993x = 19,593,705,861 × 19,593,705,861
  4. Step 4: Simplify right side
    13,227,777,993x = 383,913,309,367,385,718,784
  5. Step 5: Solve for x
    x = 383,913,309,367,385,718,784/13,227,777,993
  6. Step 6: Final answer
    x = 29,023,265,250.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.