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Finding the Third Proportional to 65,993,940 and 96,970,122

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Solution

The third proportional to 65,993,940 and 96,970,122 is: 142,485,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,993,940 : 96,970,122 = 96,970,122 : x
  2. Step 2: Convert to fraction form
    65,993,940/96,970,122 = 96,970,122/x
  3. Step 3: Cross multiply
    65,993,940x = 96,970,122 × 96,970,122
  4. Step 4: Simplify right side
    65,993,940x = 9,403,204,560,694,884
  5. Step 5: Solve for x
    x = 9,403,204,560,694,884/65,993,940
  6. Step 6: Final answer
    x = 142,485,879.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.