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Finding the Third Proportional to 1,360,419,518 and 2,040,274,970

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Solution

The third proportional to 1,360,419,518 and 2,040,274,970 is: 3,059,881,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,419,518 : 2,040,274,970 = 2,040,274,970 : x
  2. Step 2: Convert to fraction form
    1,360,419,518/2,040,274,970 = 2,040,274,970/x
  3. Step 3: Cross multiply
    1,360,419,518x = 2,040,274,970 × 2,040,274,970
  4. Step 4: Simplify right side
    1,360,419,518x = 4,162,721,953,208,500,736
  5. Step 5: Solve for x
    x = 4,162,721,953,208,500,736/1,360,419,518
  6. Step 6: Final answer
    x = 3,059,881,086.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.