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Finding the Third Proportional to 2,075,978,276 and 4,546,285,694

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Solution

The third proportional to 2,075,978,276 and 4,546,285,694 is: 9,956,131,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075,978,276 : 4,546,285,694 = 4,546,285,694 : x
  2. Step 2: Convert to fraction form
    2,075,978,276/4,546,285,694 = 4,546,285,694/x
  3. Step 3: Cross multiply
    2,075,978,276x = 4,546,285,694 × 4,546,285,694
  4. Step 4: Simplify right side
    2,075,978,276x = 20,668,713,611,469,062,144
  5. Step 5: Solve for x
    x = 20,668,713,611,469,062,144/2,075,978,276
  6. Step 6: Final answer
    x = 9,956,131,935.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.