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Finding the Third Proportional to 5,509,026 and 11,993,592

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Solution

The third proportional to 5,509,026 and 11,993,592 is: 26,111,012.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,026 : 11,993,592 = 11,993,592 : x
  2. Step 2: Convert to fraction form
    5,509,026/11,993,592 = 11,993,592/x
  3. Step 3: Cross multiply
    5,509,026x = 11,993,592 × 11,993,592
  4. Step 4: Simplify right side
    5,509,026x = 143,846,249,062,464
  5. Step 5: Solve for x
    x = 143,846,249,062,464/5,509,026
  6. Step 6: Final answer
    x = 26,111,012.92

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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.