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Finding the Third Proportional to 23,396,890.50 and 50,493,023.16

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Solution

The third proportional to 23,396,890.50 and 50,493,023.16 is: 108,969,411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,396,890.50 : 50,493,023.16 = 50,493,023.16 : x
  2. Step 2: Convert to fraction form
    23,396,890.50/50,493,023.16 = 50,493,023.16/x
  3. Step 3: Cross multiply
    23,396,890.50x = 50,493,023.16 × 50,493,023.16
  4. Step 4: Simplify right side
    23,396,890.50x = 2,549,545,387,457,598.50
  5. Step 5: Solve for x
    x = 2,549,545,387,457,598.50/23,396,890.50
  6. Step 6: Final answer
    x = 108,969,411.45

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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.