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Finding the Third Proportional to 2,704,476,771 and 5,874,513,991.31

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Solution

The third proportional to 2,704,476,771 and 5,874,513,991.31 is: 12,760,292,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704,476,771 : 5,874,513,991.31 = 5,874,513,991.31 : x
  2. Step 2: Convert to fraction form
    2,704,476,771/5,874,513,991.31 = 5,874,513,991.31/x
  3. Step 3: Cross multiply
    2,704,476,771x = 5,874,513,991.31 × 5,874,513,991.31
  4. Step 4: Simplify right side
    2,704,476,771x = 34,509,914,634,126,319,616
  5. Step 5: Solve for x
    x = 34,509,914,634,126,319,616/2,704,476,771
  6. Step 6: Final answer
    x = 12,760,292,491.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.