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Finding the Third Proportional to 11,896,758,234 and 17,797,968,912

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Solution

The third proportional to 11,896,758,234 and 17,797,968,912 is: 26,626,387,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896,758,234 : 17,797,968,912 = 17,797,968,912 : x
  2. Step 2: Convert to fraction form
    11,896,758,234/17,797,968,912 = 17,797,968,912/x
  3. Step 3: Cross multiply
    11,896,758,234x = 17,797,968,912 × 17,797,968,912
  4. Step 4: Simplify right side
    11,896,758,234x = 316,767,697,392,518,496,256
  5. Step 5: Solve for x
    x = 316,767,697,392,518,496,256/11,896,758,234
  6. Step 6: Final answer
    x = 26,626,387,723.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.