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Finding the Third Proportional to 27,420,571,665 and 37,889,000,824.50

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Solution

The third proportional to 27,420,571,665 and 37,889,000,824.50 is: 52,353,991,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420,571,665 : 37,889,000,824.50 = 37,889,000,824.50 : x
  2. Step 2: Convert to fraction form
    27,420,571,665/37,889,000,824.50 = 37,889,000,824.50/x
  3. Step 3: Cross multiply
    27,420,571,665x = 37,889,000,824.50 × 37,889,000,824.50
  4. Step 4: Simplify right side
    27,420,571,665x = 1,435,576,383,478,961,799,168
  5. Step 5: Solve for x
    x = 1,435,576,383,478,961,799,168/27,420,571,665
  6. Step 6: Final answer
    x = 52,353,991,777.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.