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Finding the Third Proportional to 49,882,346,360 and 108,545,997,328

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Solution

The third proportional to 49,882,346,360 and 108,545,997,328 is: 236,200,467,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,346,360 : 108,545,997,328 = 108,545,997,328 : x
  2. Step 2: Convert to fraction form
    49,882,346,360/108,545,997,328 = 108,545,997,328/x
  3. Step 3: Cross multiply
    49,882,346,360x = 108,545,997,328 × 108,545,997,328
  4. Step 4: Simplify right side
    49,882,346,360x = 11,782,233,535,930,183,974,912
  5. Step 5: Solve for x
    x = 11,782,233,535,930,183,974,912/49,882,346,360
  6. Step 6: Final answer
    x = 236,200,467,614.29

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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.