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Finding the Third Proportional to 23,437,953 and 51,414,110

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Solution

The third proportional to 23,437,953 and 51,414,110 is: 112,783,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437,953 : 51,414,110 = 51,414,110 : x
  2. Step 2: Convert to fraction form
    23,437,953/51,414,110 = 51,414,110/x
  3. Step 3: Cross multiply
    23,437,953x = 51,414,110 × 51,414,110
  4. Step 4: Simplify right side
    23,437,953x = 2,643,410,707,092,100
  5. Step 5: Solve for x
    x = 2,643,410,707,092,100/23,437,953
  6. Step 6: Final answer
    x = 112,783,343.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.