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Finding the Third Proportional to 2,532,153,992 and 3,824,690,934

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Solution

The third proportional to 2,532,153,992 and 3,824,690,934 is: 5,777,002,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532,153,992 : 3,824,690,934 = 3,824,690,934 : x
  2. Step 2: Convert to fraction form
    2,532,153,992/3,824,690,934 = 3,824,690,934/x
  3. Step 3: Cross multiply
    2,532,153,992x = 3,824,690,934 × 3,824,690,934
  4. Step 4: Simplify right side
    2,532,153,992x = 14,628,260,740,621,793,280
  5. Step 5: Solve for x
    x = 14,628,260,740,621,793,280/2,532,153,992
  6. Step 6: Final answer
    x = 5,777,002,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.