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Finding the Third Proportional to 31,179,847,152 and 72,755,490,936

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Solution

The third proportional to 31,179,847,152 and 72,755,490,936 is: 169,768,678,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179,847,152 : 72,755,490,936 = 72,755,490,936 : x
  2. Step 2: Convert to fraction form
    31,179,847,152/72,755,490,936 = 72,755,490,936/x
  3. Step 3: Cross multiply
    31,179,847,152x = 72,755,490,936 × 72,755,490,936
  4. Step 4: Simplify right side
    31,179,847,152x = 5,293,361,461,338,377,814,016
  5. Step 5: Solve for x
    x = 5,293,361,461,338,377,814,016/31,179,847,152
  6. Step 6: Final answer
    x = 169,768,678,965.41

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.