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Finding the Third Proportional to 35,529,648 and 76,448,064

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Solution

The third proportional to 35,529,648 and 76,448,064 is: 164,490,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,529,648 : 76,448,064 = 76,448,064 : x
  2. Step 2: Convert to fraction form
    35,529,648/76,448,064 = 76,448,064/x
  3. Step 3: Cross multiply
    35,529,648x = 76,448,064 × 76,448,064
  4. Step 4: Simplify right side
    35,529,648x = 5,844,306,489,348,096
  5. Step 5: Solve for x
    x = 5,844,306,489,348,096/35,529,648
  6. Step 6: Final answer
    x = 164,490,976.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.