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Finding the Third Proportional to 7,727,452 and 16,782,328

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Solution

The third proportional to 7,727,452 and 16,782,328 is: 36,447,529.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,452 : 16,782,328 = 16,782,328 : x
  2. Step 2: Convert to fraction form
    7,727,452/16,782,328 = 16,782,328/x
  3. Step 3: Cross multiply
    7,727,452x = 16,782,328 × 16,782,328
  4. Step 4: Simplify right side
    7,727,452x = 281,646,533,099,584
  5. Step 5: Solve for x
    x = 281,646,533,099,584/7,727,452
  6. Step 6: Final answer
    x = 36,447,529.29

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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.