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Finding the Third Proportional to 471,292,066 and 991,424,215

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Solution

The third proportional to 471,292,066 and 991,424,215 is: 2,085,589,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,292,066 : 991,424,215 = 991,424,215 : x
  2. Step 2: Convert to fraction form
    471,292,066/991,424,215 = 991,424,215/x
  3. Step 3: Cross multiply
    471,292,066x = 991,424,215 × 991,424,215
  4. Step 4: Simplify right side
    471,292,066x = 982,921,974,088,366,208
  5. Step 5: Solve for x
    x = 982,921,974,088,366,208/471,292,066
  6. Step 6: Final answer
    x = 2,085,589,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.