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Finding the Third Proportional to 396,134,761,992.50 and 858,048,166,444

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Solution

The third proportional to 396,134,761,992.50 and 858,048,166,444 is: 1,858,576,238,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,134,761,992.50 : 858,048,166,444 = 858,048,166,444 : x
  2. Step 2: Convert to fraction form
    396,134,761,992.50/858,048,166,444 = 858,048,166,444/x
  3. Step 3: Cross multiply
    396,134,761,992.50x = 858,048,166,444 × 858,048,166,444
  4. Step 4: Simplify right side
    396,134,761,992.50x = 736,246,655,937,910,296,018,944
  5. Step 5: Solve for x
    x = 736,246,655,937,910,296,018,944/396,134,761,992.50
  6. Step 6: Final answer
    x = 1,858,576,238,638.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.