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Finding the Third Proportional to 24,190,563,990 and 33,635,045,601

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Solution

The third proportional to 24,190,563,990 and 33,635,045,601 is: 46,766,842,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190,563,990 : 33,635,045,601 = 33,635,045,601 : x
  2. Step 2: Convert to fraction form
    24,190,563,990/33,635,045,601 = 33,635,045,601/x
  3. Step 3: Cross multiply
    24,190,563,990x = 33,635,045,601 × 33,635,045,601
  4. Step 4: Simplify right side
    24,190,563,990x = 1,131,316,292,581,349,392,384
  5. Step 5: Solve for x
    x = 1,131,316,292,581,349,392,384/24,190,563,990
  6. Step 6: Final answer
    x = 46,766,842,354.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.