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Finding the Third Proportional to 2,419,509,869 and 3,736,715,532

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Solution

The third proportional to 2,419,509,869 and 3,736,715,532 is: 5,771,021,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,509,869 : 3,736,715,532 = 3,736,715,532 : x
  2. Step 2: Convert to fraction form
    2,419,509,869/3,736,715,532 = 3,736,715,532/x
  3. Step 3: Cross multiply
    2,419,509,869x = 3,736,715,532 × 3,736,715,532
  4. Step 4: Simplify right side
    2,419,509,869x = 13,963,042,967,090,042,880
  5. Step 5: Solve for x
    x = 13,963,042,967,090,042,880/2,419,509,869
  6. Step 6: Final answer
    x = 5,771,021,290.71

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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.