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Finding the Third Proportional to 27,185,463 and 41,173,041

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Solution

The third proportional to 27,185,463 and 41,173,041 is: 62,357,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,185,463 : 41,173,041 = 41,173,041 : x
  2. Step 2: Convert to fraction form
    27,185,463/41,173,041 = 41,173,041/x
  3. Step 3: Cross multiply
    27,185,463x = 41,173,041 × 41,173,041
  4. Step 4: Simplify right side
    27,185,463x = 1,695,219,305,187,681
  5. Step 5: Solve for x
    x = 1,695,219,305,187,681/27,185,463
  6. Step 6: Final answer
    x = 62,357,566.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.