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Finding the Third Proportional to 8,263,983 and 17,855,838

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Solution

The third proportional to 8,263,983 and 17,855,838 is: 38,580,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,983 : 17,855,838 = 17,855,838 : x
  2. Step 2: Convert to fraction form
    8,263,983/17,855,838 = 17,855,838/x
  3. Step 3: Cross multiply
    8,263,983x = 17,855,838 × 17,855,838
  4. Step 4: Simplify right side
    8,263,983x = 318,830,950,682,244
  5. Step 5: Solve for x
    x = 318,830,950,682,244/8,263,983
  6. Step 6: Final answer
    x = 38,580,784.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.