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Finding the Third Proportional to 58,768,792,120 and 120,004,297,166

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Solution

The third proportional to 58,768,792,120 and 120,004,297,166 is: 245,045,555,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768,792,120 : 120,004,297,166 = 120,004,297,166 : x
  2. Step 2: Convert to fraction form
    58,768,792,120/120,004,297,166 = 120,004,297,166/x
  3. Step 3: Cross multiply
    58,768,792,120x = 120,004,297,166 × 120,004,297,166
  4. Step 4: Simplify right side
    58,768,792,120x = 14,401,031,338,305,634,959,360
  5. Step 5: Solve for x
    x = 14,401,031,338,305,634,959,360/58,768,792,120
  6. Step 6: Final answer
    x = 245,045,555,962.77

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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.