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Finding the Third Proportional to 2,419,509,867 and 3,736,715,529

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Solution

The third proportional to 2,419,509,867 and 3,736,715,529 is: 5,771,021,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,509,867 : 3,736,715,529 = 3,736,715,529 : x
  2. Step 2: Convert to fraction form
    2,419,509,867/3,736,715,529 = 3,736,715,529/x
  3. Step 3: Cross multiply
    2,419,509,867x = 3,736,715,529 × 3,736,715,529
  4. Step 4: Simplify right side
    2,419,509,867x = 13,963,042,944,669,749,248
  5. Step 5: Solve for x
    x = 13,963,042,944,669,749,248/2,419,509,867
  6. Step 6: Final answer
    x = 5,771,021,286.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.