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Finding the Third Proportional to 66,405,083,268 and 143,391,509,976

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Solution

The third proportional to 66,405,083,268 and 143,391,509,976 is: 309,631,795,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,405,083,268 : 143,391,509,976 = 143,391,509,976 : x
  2. Step 2: Convert to fraction form
    66,405,083,268/143,391,509,976 = 143,391,509,976/x
  3. Step 3: Cross multiply
    66,405,083,268x = 143,391,509,976 × 143,391,509,976
  4. Step 4: Simplify right side
    66,405,083,268x = 20,561,125,133,197,307,281,408
  5. Step 5: Solve for x
    x = 20,561,125,133,197,307,281,408/66,405,083,268
  6. Step 6: Final answer
    x = 309,631,795,057.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.