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Finding the Third Proportional to 52,332,364,718 and 114,136,336,696

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Solution

The third proportional to 52,332,364,718 and 114,136,336,696 is: 248,930,149,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332,364,718 : 114,136,336,696 = 114,136,336,696 : x
  2. Step 2: Convert to fraction form
    52,332,364,718/114,136,336,696 = 114,136,336,696/x
  3. Step 3: Cross multiply
    52,332,364,718x = 114,136,336,696 × 114,136,336,696
  4. Step 4: Simplify right side
    52,332,364,718x = 13,027,103,354,382,677,180,416
  5. Step 5: Solve for x
    x = 13,027,103,354,382,677,180,416/52,332,364,718
  6. Step 6: Final answer
    x = 248,930,149,145.39

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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.