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Finding the Third Proportional to 49,882,346,354 and 108,545,997,316

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Solution

The third proportional to 49,882,346,354 and 108,545,997,316 is: 236,200,467,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,882,346,354 : 108,545,997,316 = 108,545,997,316 : x
  2. Step 2: Convert to fraction form
    49,882,346,354/108,545,997,316 = 108,545,997,316/x
  3. Step 3: Cross multiply
    49,882,346,354x = 108,545,997,316 × 108,545,997,316
  4. Step 4: Simplify right side
    49,882,346,354x = 11,782,233,533,325,078,691,840
  5. Step 5: Solve for x
    x = 11,782,233,533,325,078,691,840/49,882,346,354
  6. Step 6: Final answer
    x = 236,200,467,590.48

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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.