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Finding the Third Proportional to 3,366,684 and 5,223,707.25

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Solution

The third proportional to 3,366,684 and 5,223,707.25 is: 8,105,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366,684 : 5,223,707.25 = 5,223,707.25 : x
  2. Step 2: Convert to fraction form
    3,366,684/5,223,707.25 = 5,223,707.25/x
  3. Step 3: Cross multiply
    3,366,684x = 5,223,707.25 × 5,223,707.25
  4. Step 4: Simplify right side
    3,366,684x = 27,287,117,433,702.56
  5. Step 5: Solve for x
    x = 27,287,117,433,702.56/3,366,684
  6. Step 6: Final answer
    x = 8,105,042.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.