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Finding the Third Proportional to 1,424,285,372 and 3,036,699,384

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Solution

The third proportional to 1,424,285,372 and 3,036,699,384 is: 6,474,505,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,285,372 : 3,036,699,384 = 3,036,699,384 : x
  2. Step 2: Convert to fraction form
    1,424,285,372/3,036,699,384 = 3,036,699,384/x
  3. Step 3: Cross multiply
    1,424,285,372x = 3,036,699,384 × 3,036,699,384
  4. Step 4: Simplify right side
    1,424,285,372x = 9,221,543,148,785,979,392
  5. Step 5: Solve for x
    x = 9,221,543,148,785,979,392/1,424,285,372
  6. Step 6: Final answer
    x = 6,474,505,271.26

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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.