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Finding the Third Proportional to 8,225,116 and 17,823,024

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Solution

The third proportional to 8,225,116 and 17,823,024 is: 38,620,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225,116 : 17,823,024 = 17,823,024 : x
  2. Step 2: Convert to fraction form
    8,225,116/17,823,024 = 17,823,024/x
  3. Step 3: Cross multiply
    8,225,116x = 17,823,024 × 17,823,024
  4. Step 4: Simplify right side
    8,225,116x = 317,660,184,504,576
  5. Step 5: Solve for x
    x = 317,660,184,504,576/8,225,116
  6. Step 6: Final answer
    x = 38,620,754.35

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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.