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Finding the Third Proportional to 3,836,512 and 8,403,968

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Solution

The third proportional to 3,836,512 and 8,403,968 is: 18,409,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,512 : 8,403,968 = 8,403,968 : x
  2. Step 2: Convert to fraction form
    3,836,512/8,403,968 = 8,403,968/x
  3. Step 3: Cross multiply
    3,836,512x = 8,403,968 × 8,403,968
  4. Step 4: Simplify right side
    3,836,512x = 70,626,678,145,024
  5. Step 5: Solve for x
    x = 70,626,678,145,024/3,836,512
  6. Step 6: Final answer
    x = 18,409,085.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.