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Finding the Third Proportional to 306,034,518.94 and 664,027,768.69

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Solution

The third proportional to 306,034,518.94 and 664,027,768.69 is: 1,440,794,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,518.94 : 664,027,768.69 = 664,027,768.69 : x
  2. Step 2: Convert to fraction form
    306,034,518.94/664,027,768.69 = 664,027,768.69/x
  3. Step 3: Cross multiply
    306,034,518.94x = 664,027,768.69 × 664,027,768.69
  4. Step 4: Simplify right side
    306,034,518.94x = 440,932,877,588,100,032
  5. Step 5: Solve for x
    x = 440,932,877,588,100,032/306,034,518.94
  6. Step 6: Final answer
    x = 1,440,794,584.61

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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.