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Finding the Third Proportional to 7,729,608.50 and 16,791,105

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Solution

The third proportional to 7,729,608.50 and 16,791,105 is: 36,475,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729,608.50 : 16,791,105 = 16,791,105 : x
  2. Step 2: Convert to fraction form
    7,729,608.50/16,791,105 = 16,791,105/x
  3. Step 3: Cross multiply
    7,729,608.50x = 16,791,105 × 16,791,105
  4. Step 4: Simplify right side
    7,729,608.50x = 281,941,207,121,025
  5. Step 5: Solve for x
    x = 281,941,207,121,025/7,729,608.50
  6. Step 6: Final answer
    x = 36,475,483.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.