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Finding the Third Proportional to 14,656,180.50 and 31,325,023.69

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Solution

The third proportional to 14,656,180.50 and 31,325,023.69 is: 66,951,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656,180.50 : 31,325,023.69 = 31,325,023.69 : x
  2. Step 2: Convert to fraction form
    14,656,180.50/31,325,023.69 = 31,325,023.69/x
  3. Step 3: Cross multiply
    14,656,180.50x = 31,325,023.69 × 31,325,023.69
  4. Step 4: Simplify right side
    14,656,180.50x = 981,257,109,022,436.12
  5. Step 5: Solve for x
    x = 981,257,109,022,436.12/14,656,180.50
  6. Step 6: Final answer
    x = 66,951,762.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.