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Finding the Third Proportional to 13,892,647,134 and 18,744,442,742.25

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Solution

The third proportional to 13,892,647,134 and 18,744,442,742.25 is: 25,290,654,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892,647,134 : 18,744,442,742.25 = 18,744,442,742.25 : x
  2. Step 2: Convert to fraction form
    13,892,647,134/18,744,442,742.25 = 18,744,442,742.25/x
  3. Step 3: Cross multiply
    13,892,647,134x = 18,744,442,742.25 × 18,744,442,742.25
  4. Step 4: Simplify right side
    13,892,647,134x = 351,354,133,717,488,697,344
  5. Step 5: Solve for x
    x = 351,354,133,717,488,697,344/13,892,647,134
  6. Step 6: Final answer
    x = 25,290,654,137.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.