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Finding the Third Proportional to 314,195,960.25 and 666,690,999

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Solution

The third proportional to 314,195,960.25 and 666,690,999 is: 1,414,648,640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,195,960.25 : 666,690,999 = 666,690,999 : x
  2. Step 2: Convert to fraction form
    314,195,960.25/666,690,999 = 666,690,999/x
  3. Step 3: Cross multiply
    314,195,960.25x = 666,690,999 × 666,690,999
  4. Step 4: Simplify right side
    314,195,960.25x = 444,476,888,147,617,984
  5. Step 5: Solve for x
    x = 444,476,888,147,617,984/314,195,960.25
  6. Step 6: Final answer
    x = 1,414,648,640.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.