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Finding the Third Proportional to 10,598,845.50 and 23,287,902.75

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Solution

The third proportional to 10,598,845.50 and 23,287,902.75 is: 51,168,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598,845.50 : 23,287,902.75 = 23,287,902.75 : x
  2. Step 2: Convert to fraction form
    10,598,845.50/23,287,902.75 = 23,287,902.75/x
  3. Step 3: Cross multiply
    10,598,845.50x = 23,287,902.75 × 23,287,902.75
  4. Step 4: Simplify right side
    10,598,845.50x = 542,326,414,493,457.56
  5. Step 5: Solve for x
    x = 542,326,414,493,457.56/10,598,845.50
  6. Step 6: Final answer
    x = 51,168,442.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.