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Finding the Third Proportional to 2,825,902,128 and 4,211,285,640

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Solution

The third proportional to 2,825,902,128 and 4,211,285,640 is: 6,275,846,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825,902,128 : 4,211,285,640 = 4,211,285,640 : x
  2. Step 2: Convert to fraction form
    2,825,902,128/4,211,285,640 = 4,211,285,640/x
  3. Step 3: Cross multiply
    2,825,902,128x = 4,211,285,640 × 4,211,285,640
  4. Step 4: Simplify right side
    2,825,902,128x = 17,734,926,741,670,209,536
  5. Step 5: Solve for x
    x = 17,734,926,741,670,209,536/2,825,902,128
  6. Step 6: Final answer
    x = 6,275,846,062.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.