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Finding the Third Proportional to 3,723,679,404 and 8,101,125,762

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Solution

The third proportional to 3,723,679,404 and 8,101,125,762 is: 17,624,567,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,679,404 : 8,101,125,762 = 8,101,125,762 : x
  2. Step 2: Convert to fraction form
    3,723,679,404/8,101,125,762 = 8,101,125,762/x
  3. Step 3: Cross multiply
    3,723,679,404x = 8,101,125,762 × 8,101,125,762
  4. Step 4: Simplify right side
    3,723,679,404x = 65,628,238,611,740,082,176
  5. Step 5: Solve for x
    x = 65,628,238,611,740,082,176/3,723,679,404
  6. Step 6: Final answer
    x = 17,624,567,394.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.