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Finding the Third Proportional to 8,152,921.69 and 17,770,752

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Solution

The third proportional to 8,152,921.69 and 17,770,752 is: 38,734,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152,921.69 : 17,770,752 = 17,770,752 : x
  2. Step 2: Convert to fraction form
    8,152,921.69/17,770,752 = 17,770,752/x
  3. Step 3: Cross multiply
    8,152,921.69x = 17,770,752 × 17,770,752
  4. Step 4: Simplify right side
    8,152,921.69x = 315,799,626,645,504
  5. Step 5: Solve for x
    x = 315,799,626,645,504/8,152,921.69
  6. Step 6: Final answer
    x = 38,734,534.53

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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.