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Finding the Third Proportional to 8,840,412,616,284 and 19,237,512,376,327

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Solution

The third proportional to 8,840,412,616,284 and 19,237,512,376,327 is: 41,862,512,361,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840,412,616,284 : 19,237,512,376,327 = 19,237,512,376,327 : x
  2. Step 2: Convert to fraction form
    8,840,412,616,284/19,237,512,376,327 = 19,237,512,376,327/x
  3. Step 3: Cross multiply
    8,840,412,616,284x = 19,237,512,376,327 × 19,237,512,376,327
  4. Step 4: Simplify right side
    8,840,412,616,284x = 370,081,882,429,334,530,811,756,544
  5. Step 5: Solve for x
    x = 370,081,882,429,334,530,811,756,544/8,840,412,616,284
  6. Step 6: Final answer
    x = 41,862,512,361,430.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.