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Finding the Third Proportional to 3,881,895 and 8,165,367

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Solution

The third proportional to 3,881,895 and 8,165,367 is: 17,175,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,895 : 8,165,367 = 8,165,367 : x
  2. Step 2: Convert to fraction form
    3,881,895/8,165,367 = 8,165,367/x
  3. Step 3: Cross multiply
    3,881,895x = 8,165,367 × 8,165,367
  4. Step 4: Simplify right side
    3,881,895x = 66,673,218,244,689
  5. Step 5: Solve for x
    x = 66,673,218,244,689/3,881,895
  6. Step 6: Final answer
    x = 17,175,430.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.