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Finding the Third Proportional to 3,641,377.50 and 7,968,496.50

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Solution

The third proportional to 3,641,377.50 and 7,968,496.50 is: 17,437,614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641,377.50 : 7,968,496.50 = 7,968,496.50 : x
  2. Step 2: Convert to fraction form
    3,641,377.50/7,968,496.50 = 7,968,496.50/x
  3. Step 3: Cross multiply
    3,641,377.50x = 7,968,496.50 × 7,968,496.50
  4. Step 4: Simplify right side
    3,641,377.50x = 63,496,936,470,512.25
  5. Step 5: Solve for x
    x = 63,496,936,470,512.25/3,641,377.50
  6. Step 6: Final answer
    x = 17,437,614.33

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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.