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Finding the Third Proportional to 7,635,328 and 16,466,215

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Solution

The third proportional to 7,635,328 and 16,466,215 is: 35,510,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,328 : 16,466,215 = 16,466,215 : x
  2. Step 2: Convert to fraction form
    7,635,328/16,466,215 = 16,466,215/x
  3. Step 3: Cross multiply
    7,635,328x = 16,466,215 × 16,466,215
  4. Step 4: Simplify right side
    7,635,328x = 271,136,236,426,225
  5. Step 5: Solve for x
    x = 271,136,236,426,225/7,635,328
  6. Step 6: Final answer
    x = 35,510,751.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.