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Finding the Third Proportional to 23,525,194.50 and 50,958,689.63

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Solution

The third proportional to 23,525,194.50 and 50,958,689.63 is: 110,383,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525,194.50 : 50,958,689.63 = 50,958,689.63 : x
  2. Step 2: Convert to fraction form
    23,525,194.50/50,958,689.63 = 50,958,689.63/x
  3. Step 3: Cross multiply
    23,525,194.50x = 50,958,689.63 × 50,958,689.63
  4. Step 4: Simplify right side
    23,525,194.50x = 2,596,788,048,297,082.50
  5. Step 5: Solve for x
    x = 2,596,788,048,297,082.50/23,525,194.50
  6. Step 6: Final answer
    x = 110,383,276.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.