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Finding the Third Proportional to 10,992,082.50 and 23,493,658.50

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Solution

The third proportional to 10,992,082.50 and 23,493,658.50 is: 50,213,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992,082.50 : 23,493,658.50 = 23,493,658.50 : x
  2. Step 2: Convert to fraction form
    10,992,082.50/23,493,658.50 = 23,493,658.50/x
  3. Step 3: Cross multiply
    10,992,082.50x = 23,493,658.50 × 23,493,658.50
  4. Step 4: Simplify right side
    10,992,082.50x = 551,951,989,714,622.25
  5. Step 5: Solve for x
    x = 551,951,989,714,622.25/10,992,082.50
  6. Step 6: Final answer
    x = 50,213,595.99

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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.