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Finding the Third Proportional to 52,616,291,256 and 108,021,931,899

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Solution

The third proportional to 52,616,291,256 and 108,021,931,899 is: 221,770,434,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616,291,256 : 108,021,931,899 = 108,021,931,899 : x
  2. Step 2: Convert to fraction form
    52,616,291,256/108,021,931,899 = 108,021,931,899/x
  3. Step 3: Cross multiply
    52,616,291,256x = 108,021,931,899 × 108,021,931,899
  4. Step 4: Simplify right side
    52,616,291,256x = 11,668,737,771,192,193,122,304
  5. Step 5: Solve for x
    x = 11,668,737,771,192,193,122,304/52,616,291,256
  6. Step 6: Final answer
    x = 221,770,434,453.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.