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Finding the Third Proportional to 23,841,274.50 and 51,493,941

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Solution

The third proportional to 23,841,274.50 and 51,493,941 is: 111,219,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,841,274.50 : 51,493,941 = 51,493,941 : x
  2. Step 2: Convert to fraction form
    23,841,274.50/51,493,941 = 51,493,941/x
  3. Step 3: Cross multiply
    23,841,274.50x = 51,493,941 × 51,493,941
  4. Step 4: Simplify right side
    23,841,274.50x = 2,651,625,959,711,481
  5. Step 5: Solve for x
    x = 2,651,625,959,711,481/23,841,274.50
  6. Step 6: Final answer
    x = 111,219,975.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.