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Finding the Third Proportional to 11,467,888,194,798 and 24,571,512,421,596

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Solution

The third proportional to 11,467,888,194,798 and 24,571,512,421,596 is: 52,647,812,084,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467,888,194,798 : 24,571,512,421,596 = 24,571,512,421,596 : x
  2. Step 2: Convert to fraction form
    11,467,888,194,798/24,571,512,421,596 = 24,571,512,421,596/x
  3. Step 3: Cross multiply
    11,467,888,194,798x = 24,571,512,421,596 × 24,571,512,421,596
  4. Step 4: Simplify right side
    11,467,888,194,798x = 603,759,222,684,646,527,022,923,776
  5. Step 5: Solve for x
    x = 603,759,222,684,646,527,022,923,776/11,467,888,194,798
  6. Step 6: Final answer
    x = 52,647,812,084,401.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.