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Finding the Third Proportional to 49,882,346,358 and 108,545,997,324

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Solution

The third proportional to 49,882,346,358 and 108,545,997,324 is: 236,200,467,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,346,358 : 108,545,997,324 = 108,545,997,324 : x
  2. Step 2: Convert to fraction form
    49,882,346,358/108,545,997,324 = 108,545,997,324/x
  3. Step 3: Cross multiply
    49,882,346,358x = 108,545,997,324 × 108,545,997,324
  4. Step 4: Simplify right side
    49,882,346,358x = 11,782,233,535,061,814,149,120
  5. Step 5: Solve for x
    x = 11,782,233,535,061,814,149,120/49,882,346,358
  6. Step 6: Final answer
    x = 236,200,467,606.36

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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.