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Finding the Third Proportional to 32,179,857,986 and 69,277,800,004

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Solution

The third proportional to 32,179,857,986 and 69,277,800,004 is: 149,143,404,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,179,857,986 : 69,277,800,004 = 69,277,800,004 : x
  2. Step 2: Convert to fraction form
    32,179,857,986/69,277,800,004 = 69,277,800,004/x
  3. Step 3: Cross multiply
    32,179,857,986x = 69,277,800,004 × 69,277,800,004
  4. Step 4: Simplify right side
    32,179,857,986x = 4,799,413,573,394,222,809,088
  5. Step 5: Solve for x
    x = 4,799,413,573,394,222,809,088/32,179,857,986
  6. Step 6: Final answer
    x = 149,143,404,407.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.