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Finding the Third Proportional to 27,106,194.38 and 41,294,478.38

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Solution

The third proportional to 27,106,194.38 and 41,294,478.38 is: 62,909,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106,194.38 : 41,294,478.38 = 41,294,478.38 : x
  2. Step 2: Convert to fraction form
    27,106,194.38/41,294,478.38 = 41,294,478.38/x
  3. Step 3: Cross multiply
    27,106,194.38x = 41,294,478.38 × 41,294,478.38
  4. Step 4: Simplify right side
    27,106,194.38x = 1,705,233,944,263,342.75
  5. Step 5: Solve for x
    x = 1,705,233,944,263,342.75/27,106,194.38
  6. Step 6: Final answer
    x = 62,909,382.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.