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Finding the Third Proportional to 24,835,617,735,286 and 54,044,479,993,293

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Solution

The third proportional to 24,835,617,735,286 and 54,044,479,993,293 is: 117,605,523,199,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,835,617,735,286 : 54,044,479,993,293 = 54,044,479,993,293 : x
  2. Step 2: Convert to fraction form
    24,835,617,735,286/54,044,479,993,293 = 54,044,479,993,293/x
  3. Step 3: Cross multiply
    24,835,617,735,286x = 54,044,479,993,293 × 54,044,479,993,293
  4. Step 4: Simplify right side
    24,835,617,735,286x = 2,920,805,817,745,447,431,692,091,392
  5. Step 5: Solve for x
    x = 2,920,805,817,745,447,431,692,091,392/24,835,617,735,286
  6. Step 6: Final answer
    x = 117,605,523,199,675.39

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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.