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Finding the Third Proportional to 246,803,347,626 and 500,546,243,700

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Solution

The third proportional to 246,803,347,626 and 500,546,243,700 is: 1,015,166,708,604.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,803,347,626 : 500,546,243,700 = 500,546,243,700 : x
  2. Step 2: Convert to fraction form
    246,803,347,626/500,546,243,700 = 500,546,243,700/x
  3. Step 3: Cross multiply
    246,803,347,626x = 500,546,243,700 × 500,546,243,700
  4. Step 4: Simplify right side
    246,803,347,626x = 250,546,542,082,179,773,497,344
  5. Step 5: Solve for x
    x = 250,546,542,082,179,773,497,344/246,803,347,626
  6. Step 6: Final answer
    x = 1,015,166,708,604.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.