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Finding the Third Proportional to 4,674,233.25 and 7,180,194.38

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Solution

The third proportional to 4,674,233.25 and 7,180,194.38 is: 11,029,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,233.25 : 7,180,194.38 = 7,180,194.38 : x
  2. Step 2: Convert to fraction form
    4,674,233.25/7,180,194.38 = 7,180,194.38/x
  3. Step 3: Cross multiply
    4,674,233.25x = 7,180,194.38 × 7,180,194.38
  4. Step 4: Simplify right side
    4,674,233.25x = 51,555,191,262,781.64
  5. Step 5: Solve for x
    x = 51,555,191,262,781.64/4,674,233.25
  6. Step 6: Final answer
    x = 11,029,657.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.