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Finding the Third Proportional to 1,449,445,071 and 2,216,322,759

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Solution

The third proportional to 1,449,445,071 and 2,216,322,759 is: 3,388,942,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,445,071 : 2,216,322,759 = 2,216,322,759 : x
  2. Step 2: Convert to fraction form
    1,449,445,071/2,216,322,759 = 2,216,322,759/x
  3. Step 3: Cross multiply
    1,449,445,071x = 2,216,322,759 × 2,216,322,759
  4. Step 4: Simplify right side
    1,449,445,071x = 4,912,086,572,061,372,416
  5. Step 5: Solve for x
    x = 4,912,086,572,061,372,416/1,449,445,071
  6. Step 6: Final answer
    x = 3,388,942,892.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.