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Finding the Third Proportional to 404,873,265,549 and 843,257,652,180

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Solution

The third proportional to 404,873,265,549 and 843,257,652,180 is: 1,756,311,242,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,549 : 843,257,652,180 = 843,257,652,180 : x
  2. Step 2: Convert to fraction form
    404,873,265,549/843,257,652,180 = 843,257,652,180/x
  3. Step 3: Cross multiply
    404,873,265,549x = 843,257,652,180 × 843,257,652,180
  4. Step 4: Simplify right side
    404,873,265,549x = 711,083,467,960,125,814,210,560
  5. Step 5: Solve for x
    x = 711,083,467,960,125,814,210,560/404,873,265,549
  6. Step 6: Final answer
    x = 1,756,311,242,225.17

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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.