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Finding the Third Proportional to 52,332,364,716 and 114,136,336,692

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Solution

The third proportional to 52,332,364,716 and 114,136,336,692 is: 248,930,149,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332,364,716 : 114,136,336,692 = 114,136,336,692 : x
  2. Step 2: Convert to fraction form
    52,332,364,716/114,136,336,692 = 114,136,336,692/x
  3. Step 3: Cross multiply
    52,332,364,716x = 114,136,336,692 × 114,136,336,692
  4. Step 4: Simplify right side
    52,332,364,716x = 13,027,103,353,469,585,588,224
  5. Step 5: Solve for x
    x = 13,027,103,353,469,585,588,224/52,332,364,716
  6. Step 6: Final answer
    x = 248,930,149,137.46

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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.