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Finding the Third Proportional to 3,270,314,976 and 7,173,769,998

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Solution

The third proportional to 3,270,314,976 and 7,173,769,998 is: 15,736,397,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,976 : 7,173,769,998 = 7,173,769,998 : x
  2. Step 2: Convert to fraction form
    3,270,314,976/7,173,769,998 = 7,173,769,998/x
  3. Step 3: Cross multiply
    3,270,314,976x = 7,173,769,998 × 7,173,769,998
  4. Step 4: Simplify right side
    3,270,314,976x = 51,462,975,984,204,922,880
  5. Step 5: Solve for x
    x = 51,462,975,984,204,922,880/3,270,314,976
  6. Step 6: Final answer
    x = 15,736,397,369.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.