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Finding the Third Proportional to 3,256,852 and 6,946,532

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Solution

The third proportional to 3,256,852 and 6,946,532 is: 14,816,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,852 : 6,946,532 = 6,946,532 : x
  2. Step 2: Convert to fraction form
    3,256,852/6,946,532 = 6,946,532/x
  3. Step 3: Cross multiply
    3,256,852x = 6,946,532 × 6,946,532
  4. Step 4: Simplify right side
    3,256,852x = 48,254,306,827,024
  5. Step 5: Solve for x
    x = 48,254,306,827,024/3,256,852
  6. Step 6: Final answer
    x = 14,816,241.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.