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Finding the Third Proportional to 3,270,314,972 and 7,173,769,990

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Solution

The third proportional to 3,270,314,972 and 7,173,769,990 is: 15,736,397,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,314,972 : 7,173,769,990 = 7,173,769,990 : x
  2. Step 2: Convert to fraction form
    3,270,314,972/7,173,769,990 = 7,173,769,990/x
  3. Step 3: Cross multiply
    3,270,314,972x = 7,173,769,990 × 7,173,769,990
  4. Step 4: Simplify right side
    3,270,314,972x = 51,462,975,869,424,599,040
  5. Step 5: Solve for x
    x = 51,462,975,869,424,599,040/3,270,314,972
  6. Step 6: Final answer
    x = 15,736,397,353.17

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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.