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Finding the Third Proportional to 27,835,019,522,303 and 56,463,720,137,494

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Solution

The third proportional to 27,835,019,522,303 and 56,463,720,137,494 is: 114,537,433,293,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835,019,522,303 : 56,463,720,137,494 = 56,463,720,137,494 : x
  2. Step 2: Convert to fraction form
    27,835,019,522,303/56,463,720,137,494 = 56,463,720,137,494/x
  3. Step 3: Cross multiply
    27,835,019,522,303x = 56,463,720,137,494 × 56,463,720,137,494
  4. Step 4: Simplify right side
    27,835,019,522,303x = 3,188,151,691,765,245,403,753,086,976
  5. Step 5: Solve for x
    x = 3,188,151,691,765,245,403,753,086,976/27,835,019,522,303
  6. Step 6: Final answer
    x = 114,537,433,293,722.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.