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Finding the Third Proportional to 51,937,017.75 and 81,049,879.13

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Solution

The third proportional to 51,937,017.75 and 81,049,879.13 is: 126,481,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,937,017.75 : 81,049,879.13 = 81,049,879.13 : x
  2. Step 2: Convert to fraction form
    51,937,017.75/81,049,879.13 = 81,049,879.13/x
  3. Step 3: Cross multiply
    51,937,017.75x = 81,049,879.13 × 81,049,879.13
  4. Step 4: Simplify right side
    51,937,017.75x = 6,569,082,906,177,111
  5. Step 5: Solve for x
    x = 6,569,082,906,177,111/51,937,017.75
  6. Step 6: Final answer
    x = 126,481,711.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.