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Finding the Third Proportional to 8,090,264.25 and 17,381,162.25

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Solution

The third proportional to 8,090,264.25 and 17,381,162.25 is: 37,341,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090,264.25 : 17,381,162.25 = 17,381,162.25 : x
  2. Step 2: Convert to fraction form
    8,090,264.25/17,381,162.25 = 17,381,162.25/x
  3. Step 3: Cross multiply
    8,090,264.25x = 17,381,162.25 × 17,381,162.25
  4. Step 4: Simplify right side
    8,090,264.25x = 302,104,801,160,825.06
  5. Step 5: Solve for x
    x = 302,104,801,160,825.06/8,090,264.25
  6. Step 6: Final answer
    x = 37,341,771.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.