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Finding the Third Proportional to 1,889,113,302 and 2,963,192,841

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Solution

The third proportional to 1,889,113,302 and 2,963,192,841 is: 4,647,954,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889,113,302 : 2,963,192,841 = 2,963,192,841 : x
  2. Step 2: Convert to fraction form
    1,889,113,302/2,963,192,841 = 2,963,192,841/x
  3. Step 3: Cross multiply
    1,889,113,302x = 2,963,192,841 × 2,963,192,841
  4. Step 4: Simplify right side
    1,889,113,302x = 8,780,511,812,953,651,200
  5. Step 5: Solve for x
    x = 8,780,511,812,953,651,200/1,889,113,302
  6. Step 6: Final answer
    x = 4,647,954,044.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.