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Finding the Third Proportional to 1,424,285,362 and 3,036,699,364

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Solution

The third proportional to 1,424,285,362 and 3,036,699,364 is: 6,474,505,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,285,362 : 3,036,699,364 = 3,036,699,364 : x
  2. Step 2: Convert to fraction form
    1,424,285,362/3,036,699,364 = 3,036,699,364/x
  3. Step 3: Cross multiply
    1,424,285,362x = 3,036,699,364 × 3,036,699,364
  4. Step 4: Simplify right side
    1,424,285,362x = 9,221,543,027,318,004,736
  5. Step 5: Solve for x
    x = 9,221,543,027,318,004,736/1,424,285,362
  6. Step 6: Final answer
    x = 6,474,505,231.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.