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Finding the Third Proportional to 7,612,512 and 16,739,136

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Solution

The third proportional to 7,612,512 and 16,739,136 is: 36,807,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,512 : 16,739,136 = 16,739,136 : x
  2. Step 2: Convert to fraction form
    7,612,512/16,739,136 = 16,739,136/x
  3. Step 3: Cross multiply
    7,612,512x = 16,739,136 × 16,739,136
  4. Step 4: Simplify right side
    7,612,512x = 280,198,674,026,496
  5. Step 5: Solve for x
    x = 280,198,674,026,496/7,612,512
  6. Step 6: Final answer
    x = 36,807,649.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.