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Finding the Third Proportional to 74,576,052,992 and 159,789,429,032

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Solution

The third proportional to 74,576,052,992 and 159,789,429,032 is: 342,370,782,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,576,052,992 : 159,789,429,032 = 159,789,429,032 : x
  2. Step 2: Convert to fraction form
    74,576,052,992/159,789,429,032 = 159,789,429,032/x
  3. Step 3: Cross multiply
    74,576,052,992x = 159,789,429,032 × 159,789,429,032
  4. Step 4: Simplify right side
    74,576,052,992x = 25,532,661,630,372,564,434,944
  5. Step 5: Solve for x
    x = 25,532,661,630,372,564,434,944/74,576,052,992
  6. Step 6: Final answer
    x = 342,370,782,657.42

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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.