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Finding the Third Proportional to 34,557,349 and 74,243,171

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Solution

The third proportional to 34,557,349 and 74,243,171 is: 159,504,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557,349 : 74,243,171 = 74,243,171 : x
  2. Step 2: Convert to fraction form
    34,557,349/74,243,171 = 74,243,171/x
  3. Step 3: Cross multiply
    34,557,349x = 74,243,171 × 74,243,171
  4. Step 4: Simplify right side
    34,557,349x = 5,512,048,440,135,241
  5. Step 5: Solve for x
    x = 5,512,048,440,135,241/34,557,349
  6. Step 6: Final answer
    x = 159,504,377.50

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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.