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Finding the Third Proportional to 66,022,460,334 and 143,008,027,745.25

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Solution

The third proportional to 66,022,460,334 and 143,008,027,745.25 is: 309,762,706,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022,460,334 : 143,008,027,745.25 = 143,008,027,745.25 : x
  2. Step 2: Convert to fraction form
    66,022,460,334/143,008,027,745.25 = 143,008,027,745.25/x
  3. Step 3: Cross multiply
    66,022,460,334x = 143,008,027,745.25 × 143,008,027,745.25
  4. Step 4: Simplify right side
    66,022,460,334x = 20,451,295,999,586,195,210,240
  5. Step 5: Solve for x
    x = 20,451,295,999,586,195,210,240/66,022,460,334
  6. Step 6: Final answer
    x = 309,762,706,450.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.