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Finding the Third Proportional to 644,042,676 and 1,414,609,296

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Solution

The third proportional to 644,042,676 and 1,414,609,296 is: 3,107,122,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,042,676 : 1,414,609,296 = 1,414,609,296 : x
  2. Step 2: Convert to fraction form
    644,042,676/1,414,609,296 = 1,414,609,296/x
  3. Step 3: Cross multiply
    644,042,676x = 1,414,609,296 × 1,414,609,296
  4. Step 4: Simplify right side
    644,042,676x = 2,001,119,460,329,615,616
  5. Step 5: Solve for x
    x = 2,001,119,460,329,615,616/644,042,676
  6. Step 6: Final answer
    x = 3,107,122,454.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.