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Finding the Third Proportional to 24,213,086,230 and 34,082,502,836

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Solution

The third proportional to 24,213,086,230 and 34,082,502,836 is: 47,974,759,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213,086,230 : 34,082,502,836 = 34,082,502,836 : x
  2. Step 2: Convert to fraction form
    24,213,086,230/34,082,502,836 = 34,082,502,836/x
  3. Step 3: Cross multiply
    24,213,086,230x = 34,082,502,836 × 34,082,502,836
  4. Step 4: Simplify right side
    24,213,086,230x = 1,161,616,999,565,948,092,416
  5. Step 5: Solve for x
    x = 1,161,616,999,565,948,092,416/24,213,086,230
  6. Step 6: Final answer
    x = 47,974,759,951.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.