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Finding the Third Proportional to 30,644,685,287 and 43,135,664,916.50

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Solution

The third proportional to 30,644,685,287 and 43,135,664,916.50 is: 60,718,051,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644,685,287 : 43,135,664,916.50 = 43,135,664,916.50 : x
  2. Step 2: Convert to fraction form
    30,644,685,287/43,135,664,916.50 = 43,135,664,916.50/x
  3. Step 3: Cross multiply
    30,644,685,287x = 43,135,664,916.50 × 43,135,664,916.50
  4. Step 4: Simplify right side
    30,644,685,287x = 1,860,685,587,788,568,985,600
  5. Step 5: Solve for x
    x = 1,860,685,587,788,568,985,600/30,644,685,287
  6. Step 6: Final answer
    x = 60,718,051,771.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.