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Finding the Third Proportional to 196,438,968 and 427,753,755

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Solution

The third proportional to 196,438,968 and 427,753,755 is: 931,451,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,968 : 427,753,755 = 427,753,755 : x
  2. Step 2: Convert to fraction form
    196,438,968/427,753,755 = 427,753,755/x
  3. Step 3: Cross multiply
    196,438,968x = 427,753,755 × 427,753,755
  4. Step 4: Simplify right side
    196,438,968x = 182,973,274,916,600,032
  5. Step 5: Solve for x
    x = 182,973,274,916,600,032/196,438,968
  6. Step 6: Final answer
    x = 931,451,008.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.