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Finding the Third Proportional to 58,768,792,116 and 120,004,297,158

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Solution

The third proportional to 58,768,792,116 and 120,004,297,158 is: 245,045,555,946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768,792,116 : 120,004,297,158 = 120,004,297,158 : x
  2. Step 2: Convert to fraction form
    58,768,792,116/120,004,297,158 = 120,004,297,158/x
  3. Step 3: Cross multiply
    58,768,792,116x = 120,004,297,158 × 120,004,297,158
  4. Step 4: Simplify right side
    58,768,792,116x = 14,401,031,336,385,566,474,240
  5. Step 5: Solve for x
    x = 14,401,031,336,385,566,474,240/58,768,792,116
  6. Step 6: Final answer
    x = 245,045,555,946.77

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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.