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Finding the Third Proportional to 126,431,890 and 275,835,906

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Solution

The third proportional to 126,431,890 and 275,835,906 is: 601,789,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,431,890 : 275,835,906 = 275,835,906 : x
  2. Step 2: Convert to fraction form
    126,431,890/275,835,906 = 275,835,906/x
  3. Step 3: Cross multiply
    126,431,890x = 275,835,906 × 275,835,906
  4. Step 4: Simplify right side
    126,431,890x = 76,085,447,038,840,832
  5. Step 5: Solve for x
    x = 76,085,447,038,840,832/126,431,890
  6. Step 6: Final answer
    x = 601,789,999.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.