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Finding the Third Proportional to 32,026,105,404 and 66,702,991,968

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Solution

The third proportional to 32,026,105,404 and 66,702,991,968 is: 138,926,949,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,105,404 : 66,702,991,968 = 66,702,991,968 : x
  2. Step 2: Convert to fraction form
    32,026,105,404/66,702,991,968 = 66,702,991,968/x
  3. Step 3: Cross multiply
    32,026,105,404x = 66,702,991,968 × 66,702,991,968
  4. Step 4: Simplify right side
    32,026,105,404x = 4,449,289,137,483,072,667,648
  5. Step 5: Solve for x
    x = 4,449,289,137,483,072,667,648/32,026,105,404
  6. Step 6: Final answer
    x = 138,926,949,791.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.