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Finding the Third Proportional to 2,191,764,907,296 and 3,353,154,896,592

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Solution

The third proportional to 2,191,764,907,296 and 3,353,154,896,592 is: 5,129,951,539,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,764,907,296 : 3,353,154,896,592 = 3,353,154,896,592 : x
  2. Step 2: Convert to fraction form
    2,191,764,907,296/3,353,154,896,592 = 3,353,154,896,592/x
  3. Step 3: Cross multiply
    2,191,764,907,296x = 3,353,154,896,592 × 3,353,154,896,592
  4. Step 4: Simplify right side
    2,191,764,907,296x = 11,243,647,760,538,906,862,288,896
  5. Step 5: Solve for x
    x = 11,243,647,760,538,906,862,288,896/2,191,764,907,296
  6. Step 6: Final answer
    x = 5,129,951,539,561.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.