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Finding the Third Proportional to 2,447,648 and 5,302,084

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Solution

The third proportional to 2,447,648 and 5,302,084 is: 11,485,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,648 : 5,302,084 = 5,302,084 : x
  2. Step 2: Convert to fraction form
    2,447,648/5,302,084 = 5,302,084/x
  3. Step 3: Cross multiply
    2,447,648x = 5,302,084 × 5,302,084
  4. Step 4: Simplify right side
    2,447,648x = 28,112,094,743,056
  5. Step 5: Solve for x
    x = 28,112,094,743,056/2,447,648
  6. Step 6: Final answer
    x = 11,485,350.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.