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Finding the Third Proportional to 7,662,512 and 11,525,946

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Solution

The third proportional to 7,662,512 and 11,525,946 is: 17,337,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662,512 : 11,525,946 = 11,525,946 : x
  2. Step 2: Convert to fraction form
    7,662,512/11,525,946 = 11,525,946/x
  3. Step 3: Cross multiply
    7,662,512x = 11,525,946 × 11,525,946
  4. Step 4: Simplify right side
    7,662,512x = 132,847,431,194,916
  5. Step 5: Solve for x
    x = 132,847,431,194,916/7,662,512
  6. Step 6: Final answer
    x = 17,337,321.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.