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Finding the Third Proportional to 61,615,647 and 133,505,739

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Solution

The third proportional to 61,615,647 and 133,505,739 is: 289,273,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,615,647 : 133,505,739 = 133,505,739 : x
  2. Step 2: Convert to fraction form
    61,615,647/133,505,739 = 133,505,739/x
  3. Step 3: Cross multiply
    61,615,647x = 133,505,739 × 133,505,739
  4. Step 4: Simplify right side
    61,615,647x = 17,823,782,345,936,120
  5. Step 5: Solve for x
    x = 17,823,782,345,936,120/61,615,647
  6. Step 6: Final answer
    x = 289,273,637.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.