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Finding the Third Proportional to 1,024,885,755,851 and 2,204,013,293,866

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Solution

The third proportional to 1,024,885,755,851 and 2,204,013,293,866 is: 4,739,723,009,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,885,755,851 : 2,204,013,293,866 = 2,204,013,293,866 : x
  2. Step 2: Convert to fraction form
    1,024,885,755,851/2,204,013,293,866 = 2,204,013,293,866/x
  3. Step 3: Cross multiply
    1,024,885,755,851x = 2,204,013,293,866 × 2,204,013,293,866
  4. Step 4: Simplify right side
    1,024,885,755,851x = 4,857,674,599,538,055,058,554,880
  5. Step 5: Solve for x
    x = 4,857,674,599,538,055,058,554,880/1,024,885,755,851
  6. Step 6: Final answer
    x = 4,739,723,009,912.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.