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Finding the Third Proportional to 9,296,401.50 and 20,136,496.50

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Solution

The third proportional to 9,296,401.50 and 20,136,496.50 is: 43,616,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,401.50 : 20,136,496.50 = 20,136,496.50 : x
  2. Step 2: Convert to fraction form
    9,296,401.50/20,136,496.50 = 20,136,496.50/x
  3. Step 3: Cross multiply
    9,296,401.50x = 20,136,496.50 × 20,136,496.50
  4. Step 4: Simplify right side
    9,296,401.50x = 405,478,491,294,512.25
  5. Step 5: Solve for x
    x = 405,478,491,294,512.25/9,296,401.50
  6. Step 6: Final answer
    x = 43,616,714.63

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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.