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Finding the Third Proportional to 5,167,176.75 and 12,069,020.25

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Solution

The third proportional to 5,167,176.75 and 12,069,020.25 is: 28,189,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167,176.75 : 12,069,020.25 = 12,069,020.25 : x
  2. Step 2: Convert to fraction form
    5,167,176.75/12,069,020.25 = 12,069,020.25/x
  3. Step 3: Cross multiply
    5,167,176.75x = 12,069,020.25 × 12,069,020.25
  4. Step 4: Simplify right side
    5,167,176.75x = 145,661,249,794,910.06
  5. Step 5: Solve for x
    x = 145,661,249,794,910.06/5,167,176.75
  6. Step 6: Final answer
    x = 28,189,716.91

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.