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Finding the Third Proportional to 18,400,261,212 and 39,385,321,839

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Solution

The third proportional to 18,400,261,212 and 39,385,321,839 is: 84,303,345,397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400,261,212 : 39,385,321,839 = 39,385,321,839 : x
  2. Step 2: Convert to fraction form
    18,400,261,212/39,385,321,839 = 39,385,321,839/x
  3. Step 3: Cross multiply
    18,400,261,212x = 39,385,321,839 × 39,385,321,839
  4. Step 4: Simplify right side
    18,400,261,212x = 1,551,203,576,361,610,379,264
  5. Step 5: Solve for x
    x = 1,551,203,576,361,610,379,264/18,400,261,212
  6. Step 6: Final answer
    x = 84,303,345,397.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.