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Finding the Third Proportional to 49,396,078,702 and 66,646,907,535

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Solution

The third proportional to 49,396,078,702 and 66,646,907,535 is: 89,922,325,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396,078,702 : 66,646,907,535 = 66,646,907,535 : x
  2. Step 2: Convert to fraction form
    49,396,078,702/66,646,907,535 = 66,646,907,535/x
  3. Step 3: Cross multiply
    49,396,078,702x = 66,646,907,535 × 66,646,907,535
  4. Step 4: Simplify right side
    49,396,078,702x = 4,441,810,283,978,839,556,096
  5. Step 5: Solve for x
    x = 4,441,810,283,978,839,556,096/49,396,078,702
  6. Step 6: Final answer
    x = 89,922,325,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.