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Finding the Third Proportional to 2,504,862,296 and 4,946,497,881

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Solution

The third proportional to 2,504,862,296 and 4,946,497,881 is: 9,768,138,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504,862,296 : 4,946,497,881 = 4,946,497,881 : x
  2. Step 2: Convert to fraction form
    2,504,862,296/4,946,497,881 = 4,946,497,881/x
  3. Step 3: Cross multiply
    2,504,862,296x = 4,946,497,881 × 4,946,497,881
  4. Step 4: Simplify right side
    2,504,862,296x = 24,467,841,286,737,489,920
  5. Step 5: Solve for x
    x = 24,467,841,286,737,489,920/2,504,862,296
  6. Step 6: Final answer
    x = 9,768,138,282.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.