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Finding the Third Proportional to 306,034,481.81 and 664,027,696.69

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Solution

The third proportional to 306,034,481.81 and 664,027,696.69 is: 1,440,794,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,481.81 : 664,027,696.69 = 664,027,696.69 : x
  2. Step 2: Convert to fraction form
    306,034,481.81/664,027,696.69 = 664,027,696.69/x
  3. Step 3: Cross multiply
    306,034,481.81x = 664,027,696.69 × 664,027,696.69
  4. Step 4: Simplify right side
    306,034,481.81x = 440,932,781,968,106,496
  5. Step 5: Solve for x
    x = 440,932,781,968,106,496/306,034,481.81
  6. Step 6: Final answer
    x = 1,440,794,446.94

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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.