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Finding the Third Proportional to 5,876,096 and 12,457,648

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Solution

The third proportional to 5,876,096 and 12,457,648 is: 26,410,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876,096 : 12,457,648 = 12,457,648 : x
  2. Step 2: Convert to fraction form
    5,876,096/12,457,648 = 12,457,648/x
  3. Step 3: Cross multiply
    5,876,096x = 12,457,648 × 12,457,648
  4. Step 4: Simplify right side
    5,876,096x = 155,192,993,691,904
  5. Step 5: Solve for x
    x = 155,192,993,691,904/5,876,096
  6. Step 6: Final answer
    x = 26,410,901.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.