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Finding the Third Proportional to 1,424,147,036,393.80 and 3,055,032,285,040.80

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Solution

The third proportional to 1,424,147,036,393.80 and 3,055,032,285,040.80 is: 6,553,552,424,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,147,036,393.80 : 3,055,032,285,040.80 = 3,055,032,285,040.80 : x
  2. Step 2: Convert to fraction form
    1,424,147,036,393.80/3,055,032,285,040.80 = 3,055,032,285,040.80/x
  3. Step 3: Cross multiply
    1,424,147,036,393.80x = 3,055,032,285,040.80 × 3,055,032,285,040.80
  4. Step 4: Simplify right side
    1,424,147,036,393.80x = 9,333,222,262,641,611,021,221,888
  5. Step 5: Solve for x
    x = 9,333,222,262,641,611,021,221,888/1,424,147,036,393.80
  6. Step 6: Final answer
    x = 6,553,552,424,105.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.