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Finding the Third Proportional to 568,877,100,146 and 821,929,171,512

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Solution

The third proportional to 568,877,100,146 and 821,929,171,512 is: 1,187,545,715,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,877,100,146 : 821,929,171,512 = 821,929,171,512 : x
  2. Step 2: Convert to fraction form
    568,877,100,146/821,929,171,512 = 821,929,171,512/x
  3. Step 3: Cross multiply
    568,877,100,146x = 821,929,171,512 × 821,929,171,512
  4. Step 4: Simplify right side
    568,877,100,146x = 675,567,562,982,402,732,064,768
  5. Step 5: Solve for x
    x = 675,567,562,982,402,732,064,768/568,877,100,146
  6. Step 6: Final answer
    x = 1,187,545,715,601.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.