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Finding the Third Proportional to 6,151,518,832 and 13,420,743,926

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Solution

The third proportional to 6,151,518,832 and 13,420,743,926 is: 29,279,983,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,518,832 : 13,420,743,926 = 13,420,743,926 : x
  2. Step 2: Convert to fraction form
    6,151,518,832/13,420,743,926 = 13,420,743,926/x
  3. Step 3: Cross multiply
    6,151,518,832x = 13,420,743,926 × 13,420,743,926
  4. Step 4: Simplify right side
    6,151,518,832x = 180,116,367,527,265,894,400
  5. Step 5: Solve for x
    x = 180,116,367,527,265,894,400/6,151,518,832
  6. Step 6: Final answer
    x = 29,279,983,114.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.