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Finding the Third Proportional to 3,755,944,409,698 and 8,135,567,799,728

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Solution

The third proportional to 3,755,944,409,698 and 8,135,567,799,728 is: 17,622,056,187,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755,944,409,698 : 8,135,567,799,728 = 8,135,567,799,728 : x
  2. Step 2: Convert to fraction form
    3,755,944,409,698/8,135,567,799,728 = 8,135,567,799,728/x
  3. Step 3: Cross multiply
    3,755,944,409,698x = 8,135,567,799,728 × 8,135,567,799,728
  4. Step 4: Simplify right side
    3,755,944,409,698x = 66,187,463,423,971,087,228,076,032
  5. Step 5: Solve for x
    x = 66,187,463,423,971,087,228,076,032/3,755,944,409,698
  6. Step 6: Final answer
    x = 17,622,056,187,272.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.