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Finding the Third Proportional to 8,206,025 and 18,995,480

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Solution

The third proportional to 8,206,025 and 18,995,480 is: 43,971,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,025 : 18,995,480 = 18,995,480 : x
  2. Step 2: Convert to fraction form
    8,206,025/18,995,480 = 18,995,480/x
  3. Step 3: Cross multiply
    8,206,025x = 18,995,480 × 18,995,480
  4. Step 4: Simplify right side
    8,206,025x = 360,828,260,430,400
  5. Step 5: Solve for x
    x = 360,828,260,430,400/8,206,025
  6. Step 6: Final answer
    x = 43,971,138.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.