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Finding the Third Proportional to 8,085,688 and 17,690,620

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Solution

The third proportional to 8,085,688 and 17,690,620 is: 38,705,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,085,688 : 17,690,620 = 17,690,620 : x
  2. Step 2: Convert to fraction form
    8,085,688/17,690,620 = 17,690,620/x
  3. Step 3: Cross multiply
    8,085,688x = 17,690,620 × 17,690,620
  4. Step 4: Simplify right side
    8,085,688x = 312,958,035,984,400
  5. Step 5: Solve for x
    x = 312,958,035,984,400/8,085,688
  6. Step 6: Final answer
    x = 38,705,183.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.