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Finding the Third Proportional to 19,701,536,520 and 30,531,957,174

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Solution

The third proportional to 19,701,536,520 and 30,531,957,174 is: 47,316,127,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701,536,520 : 30,531,957,174 = 30,531,957,174 : x
  2. Step 2: Convert to fraction form
    19,701,536,520/30,531,957,174 = 30,531,957,174/x
  3. Step 3: Cross multiply
    19,701,536,520x = 30,531,957,174 × 30,531,957,174
  4. Step 4: Simplify right side
    19,701,536,520x = 932,200,408,874,970,120,192
  5. Step 5: Solve for x
    x = 932,200,408,874,970,120,192/19,701,536,520
  6. Step 6: Final answer
    x = 47,316,127,243.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.