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Finding the Third Proportional to 13,892,647,133 and 18,744,442,741.50

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Solution

The third proportional to 13,892,647,133 and 18,744,442,741.50 is: 25,290,654,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892,647,133 : 18,744,442,741.50 = 18,744,442,741.50 : x
  2. Step 2: Convert to fraction form
    13,892,647,133/18,744,442,741.50 = 18,744,442,741.50/x
  3. Step 3: Cross multiply
    13,892,647,133x = 18,744,442,741.50 × 18,744,442,741.50
  4. Step 4: Simplify right side
    13,892,647,133x = 351,354,133,689,372,049,408
  5. Step 5: Solve for x
    x = 351,354,133,689,372,049,408/13,892,647,133
  6. Step 6: Final answer
    x = 25,290,654,137.09

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