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Finding the Third Proportional to 9,040,730.25 and 13,645,169.06

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Solution

The third proportional to 9,040,730.25 and 13,645,169.06 is: 20,594,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040,730.25 : 13,645,169.06 = 13,645,169.06 : x
  2. Step 2: Convert to fraction form
    9,040,730.25/13,645,169.06 = 13,645,169.06/x
  3. Step 3: Cross multiply
    9,040,730.25x = 13,645,169.06 × 13,645,169.06
  4. Step 4: Simplify right side
    9,040,730.25x = 186,190,638,744,207.12
  5. Step 5: Solve for x
    x = 186,190,638,744,207.12/9,040,730.25
  6. Step 6: Final answer
    x = 20,594,645.96

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