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Finding the Third Proportional to 329,294,711 and 650,261,326

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Solution

The third proportional to 329,294,711 and 650,261,326 is: 1,284,077,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,294,711 : 650,261,326 = 650,261,326 : x
  2. Step 2: Convert to fraction form
    329,294,711/650,261,326 = 650,261,326/x
  3. Step 3: Cross multiply
    329,294,711x = 650,261,326 × 650,261,326
  4. Step 4: Simplify right side
    329,294,711x = 422,839,792,091,278,272
  5. Step 5: Solve for x
    x = 422,839,792,091,278,272/329,294,711
  6. Step 6: Final answer
    x = 1,284,077,083.43

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.