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Finding the Third Proportional to 3,509,238,851 and 7,707,264,766

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Solution

The third proportional to 3,509,238,851 and 7,707,264,766 is: 16,927,297,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509,238,851 : 7,707,264,766 = 7,707,264,766 : x
  2. Step 2: Convert to fraction form
    3,509,238,851/7,707,264,766 = 7,707,264,766/x
  3. Step 3: Cross multiply
    3,509,238,851x = 7,707,264,766 × 7,707,264,766
  4. Step 4: Simplify right side
    3,509,238,851x = 59,401,930,173,225,033,728
  5. Step 5: Solve for x
    x = 59,401,930,173,225,033,728/3,509,238,851
  6. Step 6: Final answer
    x = 16,927,297,540.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.