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Finding the Third Proportional to 781,401,022,620 and 1,692,616,606,866

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Solution

The third proportional to 781,401,022,620 and 1,692,616,606,866 is: 3,666,428,498,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,401,022,620 : 1,692,616,606,866 = 1,692,616,606,866 : x
  2. Step 2: Convert to fraction form
    781,401,022,620/1,692,616,606,866 = 1,692,616,606,866/x
  3. Step 3: Cross multiply
    781,401,022,620x = 1,692,616,606,866 × 1,692,616,606,866
  4. Step 4: Simplify right side
    781,401,022,620x = 2,864,950,977,838,571,348,557,824
  5. Step 5: Solve for x
    x = 2,864,950,977,838,571,348,557,824/781,401,022,620
  6. Step 6: Final answer
    x = 3,666,428,498,176.94

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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.