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Finding the Third Proportional to 8,599,683,156,745 and 18,864,309,270,032

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Solution

The third proportional to 8,599,683,156,745 and 18,864,309,270,032 is: 41,380,845,985,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599,683,156,745 : 18,864,309,270,032 = 18,864,309,270,032 : x
  2. Step 2: Convert to fraction form
    8,599,683,156,745/18,864,309,270,032 = 18,864,309,270,032/x
  3. Step 3: Cross multiply
    8,599,683,156,745x = 18,864,309,270,032 × 18,864,309,270,032
  4. Step 4: Simplify right side
    8,599,683,156,745x = 355,862,164,235,415,261,596,876,800
  5. Step 5: Solve for x
    x = 355,862,164,235,415,261,596,876,800/8,599,683,156,745
  6. Step 6: Final answer
    x = 41,380,845,985,738.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.