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Finding the Third Proportional to 2,325,706,170 and 3,574,770,795

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Solution

The third proportional to 2,325,706,170 and 3,574,770,795 is: 5,494,669,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325,706,170 : 3,574,770,795 = 3,574,770,795 : x
  2. Step 2: Convert to fraction form
    2,325,706,170/3,574,770,795 = 3,574,770,795/x
  3. Step 3: Cross multiply
    2,325,706,170x = 3,574,770,795 × 3,574,770,795
  4. Step 4: Simplify right side
    2,325,706,170x = 12,778,986,236,784,932,864
  5. Step 5: Solve for x
    x = 12,778,986,236,784,932,864/2,325,706,170
  6. Step 6: Final answer
    x = 5,494,669,275.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.