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Finding the Third Proportional to 149,647,039,063 and 325,637,991,950

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Solution

The third proportional to 149,647,039,063 and 325,637,991,950 is: 708,601,402,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,647,039,063 : 325,637,991,950 = 325,637,991,950 : x
  2. Step 2: Convert to fraction form
    149,647,039,063/325,637,991,950 = 325,637,991,950/x
  3. Step 3: Cross multiply
    149,647,039,063x = 325,637,991,950 × 325,637,991,950
  4. Step 4: Simplify right side
    149,647,039,063x = 106,040,101,801,228,259,819,520
  5. Step 5: Solve for x
    x = 106,040,101,801,228,259,819,520/149,647,039,063
  6. Step 6: Final answer
    x = 708,601,402,775.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.