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Finding the Third Proportional to 269,915,460,912 and 562,171,665,757.50

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Solution

The third proportional to 269,915,460,912 and 562,171,665,757.50 is: 1,170,873,949,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,915,460,912 : 562,171,665,757.50 = 562,171,665,757.50 : x
  2. Step 2: Convert to fraction form
    269,915,460,912/562,171,665,757.50 = 562,171,665,757.50/x
  3. Step 3: Cross multiply
    269,915,460,912x = 562,171,665,757.50 × 562,171,665,757.50
  4. Step 4: Simplify right side
    269,915,460,912x = 316,036,981,780,562,319,507,456
  5. Step 5: Solve for x
    x = 316,036,981,780,562,319,507,456/269,915,460,912
  6. Step 6: Final answer
    x = 1,170,873,949,616.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.