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Finding the Third Proportional to 27,105,842.75 and 41,294,002.75

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Solution

The third proportional to 27,105,842.75 and 41,294,002.75 is: 62,908,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105,842.75 : 41,294,002.75 = 41,294,002.75 : x
  2. Step 2: Convert to fraction form
    27,105,842.75/41,294,002.75 = 41,294,002.75/x
  3. Step 3: Cross multiply
    27,105,842.75x = 41,294,002.75 × 41,294,002.75
  4. Step 4: Simplify right side
    27,105,842.75x = 1,705,194,663,117,007.50
  5. Step 5: Solve for x
    x = 1,705,194,663,117,007.50/27,105,842.75
  6. Step 6: Final answer
    x = 62,908,749.19

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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.