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Finding the Third Proportional to 49,882,346,356 and 108,545,997,320

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Solution

The third proportional to 49,882,346,356 and 108,545,997,320 is: 236,200,467,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,346,356 : 108,545,997,320 = 108,545,997,320 : x
  2. Step 2: Convert to fraction form
    49,882,346,356/108,545,997,320 = 108,545,997,320/x
  3. Step 3: Cross multiply
    49,882,346,356x = 108,545,997,320 × 108,545,997,320
  4. Step 4: Simplify right side
    49,882,346,356x = 11,782,233,534,193,446,420,480
  5. Step 5: Solve for x
    x = 11,782,233,534,193,446,420,480/49,882,346,356
  6. Step 6: Final answer
    x = 236,200,467,598.42

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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.