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Finding the Third Proportional to 7,573,474.69 and 16,430,961.38

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Solution

The third proportional to 7,573,474.69 and 16,430,961.38 is: 35,647,639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573,474.69 : 16,430,961.38 = 16,430,961.38 : x
  2. Step 2: Convert to fraction form
    7,573,474.69/16,430,961.38 = 16,430,961.38/x
  3. Step 3: Cross multiply
    7,573,474.69x = 16,430,961.38 × 16,430,961.38
  4. Step 4: Simplify right side
    7,573,474.69x = 269,976,491,706,741.88
  5. Step 5: Solve for x
    x = 269,976,491,706,741.88/7,573,474.69
  6. Step 6: Final answer
    x = 35,647,639.01

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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.