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Finding the Third Proportional to 404,873,265,548 and 843,257,652,178

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Solution

The third proportional to 404,873,265,548 and 843,257,652,178 is: 1,756,311,242,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,265,548 : 843,257,652,178 = 843,257,652,178 : x
  2. Step 2: Convert to fraction form
    404,873,265,548/843,257,652,178 = 843,257,652,178/x
  3. Step 3: Cross multiply
    404,873,265,548x = 843,257,652,178 × 843,257,652,178
  4. Step 4: Simplify right side
    404,873,265,548x = 711,083,467,956,752,788,488,192
  5. Step 5: Solve for x
    x = 711,083,467,956,752,788,488,192/404,873,265,548
  6. Step 6: Final answer
    x = 1,756,311,242,221.18

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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.