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Finding the Third Proportional to 5,427,175.50 and 11,797,623

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Solution

The third proportional to 5,427,175.50 and 11,797,623 is: 25,645,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427,175.50 : 11,797,623 = 11,797,623 : x
  2. Step 2: Convert to fraction form
    5,427,175.50/11,797,623 = 11,797,623/x
  3. Step 3: Cross multiply
    5,427,175.50x = 11,797,623 × 11,797,623
  4. Step 4: Simplify right side
    5,427,175.50x = 139,183,908,450,129
  5. Step 5: Solve for x
    x = 139,183,908,450,129/5,427,175.50
  6. Step 6: Final answer
    x = 25,645,735.70

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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.