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Finding the Third Proportional to 20,255,476,862,960 and 27,329,394,163,496

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Solution

The third proportional to 20,255,476,862,960 and 27,329,394,163,496 is: 36,873,769,519,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255,476,862,960 : 27,329,394,163,496 = 27,329,394,163,496 : x
  2. Step 2: Convert to fraction form
    20,255,476,862,960/27,329,394,163,496 = 27,329,394,163,496/x
  3. Step 3: Cross multiply
    20,255,476,862,960x = 27,329,394,163,496 × 27,329,394,163,496
  4. Step 4: Simplify right side
    20,255,476,862,960x = 746,895,785,343,729,184,331,005,952
  5. Step 5: Solve for x
    x = 746,895,785,343,729,184,331,005,952/20,255,476,862,960
  6. Step 6: Final answer
    x = 36,873,769,519,074.30

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.