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Finding the Third Proportional to 58,768,792,122 and 120,004,297,170

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Solution

The third proportional to 58,768,792,122 and 120,004,297,170 is: 245,045,555,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768,792,122 : 120,004,297,170 = 120,004,297,170 : x
  2. Step 2: Convert to fraction form
    58,768,792,122/120,004,297,170 = 120,004,297,170/x
  3. Step 3: Cross multiply
    58,768,792,122x = 120,004,297,170 × 120,004,297,170
  4. Step 4: Simplify right side
    58,768,792,122x = 14,401,031,339,265,669,201,920
  5. Step 5: Solve for x
    x = 14,401,031,339,265,669,201,920/58,768,792,122
  6. Step 6: Final answer
    x = 245,045,555,970.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.