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Finding the Third Proportional to 666,727,193 and 1,435,857,961

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Solution

The third proportional to 666,727,193 and 1,435,857,961 is: 3,092,251,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,727,193 : 1,435,857,961 = 1,435,857,961 : x
  2. Step 2: Convert to fraction form
    666,727,193/1,435,857,961 = 1,435,857,961/x
  3. Step 3: Cross multiply
    666,727,193x = 1,435,857,961 × 1,435,857,961
  4. Step 4: Simplify right side
    666,727,193x = 2,061,688,084,167,077,632
  5. Step 5: Solve for x
    x = 2,061,688,084,167,077,632/666,727,193
  6. Step 6: Final answer
    x = 3,092,251,382.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.