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Finding the Third Proportional to 404,873,191,526 and 843,257,498,976

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Solution

The third proportional to 404,873,191,526 and 843,257,498,976 is: 1,756,310,925,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,191,526 : 843,257,498,976 = 843,257,498,976 : x
  2. Step 2: Convert to fraction form
    404,873,191,526/843,257,498,976 = 843,257,498,976/x
  3. Step 3: Cross multiply
    404,873,191,526x = 843,257,498,976 × 843,257,498,976
  4. Step 4: Simplify right side
    404,873,191,526x = 711,083,209,579,258,584,236,032
  5. Step 5: Solve for x
    x = 711,083,209,579,258,584,236,032/404,873,191,526
  6. Step 6: Final answer
    x = 1,756,310,925,154.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.