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Finding the Third Proportional to 27,105,993 and 41,294,226

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Solution

The third proportional to 27,105,993 and 41,294,226 is: 62,909,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105,993 : 41,294,226 = 41,294,226 : x
  2. Step 2: Convert to fraction form
    27,105,993/41,294,226 = 41,294,226/x
  3. Step 3: Cross multiply
    27,105,993x = 41,294,226 × 41,294,226
  4. Step 4: Simplify right side
    27,105,993x = 1,705,213,100,939,076
  5. Step 5: Solve for x
    x = 1,705,213,100,939,076/27,105,993
  6. Step 6: Final answer
    x = 62,909,080.69

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Why These Related Problems?

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