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Finding the Third Proportional to 1,424,285,380 and 3,036,699,400

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Solution

The third proportional to 1,424,285,380 and 3,036,699,400 is: 6,474,505,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,285,380 : 3,036,699,400 = 3,036,699,400 : x
  2. Step 2: Convert to fraction form
    1,424,285,380/3,036,699,400 = 3,036,699,400/x
  3. Step 3: Cross multiply
    1,424,285,380x = 3,036,699,400 × 3,036,699,400
  4. Step 4: Simplify right side
    1,424,285,380x = 9,221,543,245,960,359,936
  5. Step 5: Solve for x
    x = 9,221,543,245,960,359,936/1,424,285,380
  6. Step 6: Final answer
    x = 6,474,505,303.12

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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.