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Finding the Third Proportional to 9,296,025.75 and 19,937,193.19

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Solution

The third proportional to 9,296,025.75 and 19,937,193.19 is: 42,759,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,025.75 : 19,937,193.19 = 19,937,193.19 : x
  2. Step 2: Convert to fraction form
    9,296,025.75/19,937,193.19 = 19,937,193.19/x
  3. Step 3: Cross multiply
    9,296,025.75x = 19,937,193.19 × 19,937,193.19
  4. Step 4: Simplify right side
    9,296,025.75x = 397,491,672,195,696.44
  5. Step 5: Solve for x
    x = 397,491,672,195,696.44/9,296,025.75
  6. Step 6: Final answer
    x = 42,759,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.