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Finding the Third Proportional to 30,644,685,284 and 43,135,664,912

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Solution

The third proportional to 30,644,685,284 and 43,135,664,912 is: 60,718,051,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,644,685,284 : 43,135,664,912 = 43,135,664,912 : x
  2. Step 2: Convert to fraction form
    30,644,685,284/43,135,664,912 = 43,135,664,912/x
  3. Step 3: Cross multiply
    30,644,685,284x = 43,135,664,912 × 43,135,664,912
  4. Step 4: Simplify right side
    30,644,685,284x = 1,860,685,587,400,347,877,376
  5. Step 5: Solve for x
    x = 1,860,685,587,400,347,877,376/30,644,685,284
  6. Step 6: Final answer
    x = 60,718,051,765.14

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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.