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Finding the Third Proportional to 306,034,498.69 and 664,027,730.44

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Solution

The third proportional to 306,034,498.69 and 664,027,730.44 is: 1,440,794,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,034,498.69 : 664,027,730.44 = 664,027,730.44 : x
  2. Step 2: Convert to fraction form
    306,034,498.69/664,027,730.44 = 664,027,730.44/x
  3. Step 3: Cross multiply
    306,034,498.69x = 664,027,730.44 × 664,027,730.44
  4. Step 4: Simplify right side
    306,034,498.69x = 440,932,826,789,977,152
  5. Step 5: Solve for x
    x = 440,932,826,789,977,152/306,034,498.69
  6. Step 6: Final answer
    x = 1,440,794,513.96

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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.