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Finding the Third Proportional to 404,873,265,524 and 843,257,652,103

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Solution

The third proportional to 404,873,265,524 and 843,257,652,103 is: 1,756,311,242,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,524 : 843,257,652,103 = 843,257,652,103 : x
  2. Step 2: Convert to fraction form
    404,873,265,524/843,257,652,103 = 843,257,652,103/x
  3. Step 3: Cross multiply
    404,873,265,524x = 843,257,652,103 × 843,257,652,103
  4. Step 4: Simplify right side
    404,873,265,524x = 711,083,467,830,264,122,572,800
  5. Step 5: Solve for x
    x = 711,083,467,830,264,122,572,800/404,873,265,524
  6. Step 6: Final answer
    x = 1,756,311,242,012.87

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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.