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Finding the Third Proportional to 851,906,266 and 1,273,164,074

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Solution

The third proportional to 851,906,266 and 1,273,164,074 is: 1,902,729,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,906,266 : 1,273,164,074 = 1,273,164,074 : x
  2. Step 2: Convert to fraction form
    851,906,266/1,273,164,074 = 1,273,164,074/x
  3. Step 3: Cross multiply
    851,906,266x = 1,273,164,074 × 1,273,164,074
  4. Step 4: Simplify right side
    851,906,266x = 1,620,946,759,324,277,504
  5. Step 5: Solve for x
    x = 1,620,946,759,324,277,504/851,906,266
  6. Step 6: Final answer
    x = 1,902,729,002.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.