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Finding the Third Proportional to 27,659,213,678 and 59,513,456,398

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Solution

The third proportional to 27,659,213,678 and 59,513,456,398 is: 128,053,224,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,659,213,678 : 59,513,456,398 = 59,513,456,398 : x
  2. Step 2: Convert to fraction form
    27,659,213,678/59,513,456,398 = 59,513,456,398/x
  3. Step 3: Cross multiply
    27,659,213,678x = 59,513,456,398 × 59,513,456,398
  4. Step 4: Simplify right side
    27,659,213,678x = 3,541,851,492,436,647,346,176
  5. Step 5: Solve for x
    x = 3,541,851,492,436,647,346,176/27,659,213,678
  6. Step 6: Final answer
    x = 128,053,224,277.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.