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Finding the Third Proportional to 32,026,200,826 and 66,703,155,002

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Solution

The third proportional to 32,026,200,826 and 66,703,155,002 is: 138,927,214,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,026,200,826 : 66,703,155,002 = 66,703,155,002 : x
  2. Step 2: Convert to fraction form
    32,026,200,826/66,703,155,002 = 66,703,155,002/x
  3. Step 3: Cross multiply
    32,026,200,826x = 66,703,155,002 × 66,703,155,002
  4. Step 4: Simplify right side
    32,026,200,826x = 4,449,310,887,220,837,613,568
  5. Step 5: Solve for x
    x = 4,449,310,887,220,837,613,568/32,026,200,826
  6. Step 6: Final answer
    x = 138,927,214,982.33

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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.