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Finding the Third Proportional to 35,135,880 and 76,136,736

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Solution

The third proportional to 35,135,880 and 76,136,736 is: 164,982,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,135,880 : 76,136,736 = 76,136,736 : x
  2. Step 2: Convert to fraction form
    35,135,880/76,136,736 = 76,136,736/x
  3. Step 3: Cross multiply
    35,135,880x = 76,136,736 × 76,136,736
  4. Step 4: Simplify right side
    35,135,880x = 5,796,802,568,733,696
  5. Step 5: Solve for x
    x = 5,796,802,568,733,696/35,135,880
  6. Step 6: Final answer
    x = 164,982,421.64

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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.