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Finding the Third Proportional to 5,093,651.25 and 7,706,097

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Solution

The third proportional to 5,093,651.25 and 7,706,097 is: 11,658,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093,651.25 : 7,706,097 = 7,706,097 : x
  2. Step 2: Convert to fraction form
    5,093,651.25/7,706,097 = 7,706,097/x
  3. Step 3: Cross multiply
    5,093,651.25x = 7,706,097 × 7,706,097
  4. Step 4: Simplify right side
    5,093,651.25x = 59,383,930,973,409
  5. Step 5: Solve for x
    x = 59,383,930,973,409/5,093,651.25
  6. Step 6: Final answer
    x = 11,658,421.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.