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Finding the Third Proportional to 41,008,714 and 57,683,903

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Solution

The third proportional to 41,008,714 and 57,683,903 is: 81,139,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,008,714 : 57,683,903 = 57,683,903 : x
  2. Step 2: Convert to fraction form
    41,008,714/57,683,903 = 57,683,903/x
  3. Step 3: Cross multiply
    41,008,714x = 57,683,903 × 57,683,903
  4. Step 4: Simplify right side
    41,008,714x = 3,327,432,665,313,409
  5. Step 5: Solve for x
    x = 3,327,432,665,313,409/41,008,714
  6. Step 6: Final answer
    x = 81,139,649.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.