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Finding the Third Proportional to 7,893,828 and 17,263,944

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Solution

The third proportional to 7,893,828 and 17,263,944 is: 37,756,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893,828 : 17,263,944 = 17,263,944 : x
  2. Step 2: Convert to fraction form
    7,893,828/17,263,944 = 17,263,944/x
  3. Step 3: Cross multiply
    7,893,828x = 17,263,944 × 17,263,944
  4. Step 4: Simplify right side
    7,893,828x = 298,043,762,435,136
  5. Step 5: Solve for x
    x = 298,043,762,435,136/7,893,828
  6. Step 6: Final answer
    x = 37,756,556.44

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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.