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Finding the Third Proportional to 8,203,623 and 17,883,391

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Solution

The third proportional to 8,203,623 and 17,883,391 is: 38,984,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203,623 : 17,883,391 = 17,883,391 : x
  2. Step 2: Convert to fraction form
    8,203,623/17,883,391 = 17,883,391/x
  3. Step 3: Cross multiply
    8,203,623x = 17,883,391 × 17,883,391
  4. Step 4: Simplify right side
    8,203,623x = 319,815,673,658,881
  5. Step 5: Solve for x
    x = 319,815,673,658,881/8,203,623
  6. Step 6: Final answer
    x = 38,984,686.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.