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Finding the Third Proportional to 51,824,019 and 113,410,878

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Solution

The third proportional to 51,824,019 and 113,410,878 is: 248,186,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,824,019 : 113,410,878 = 113,410,878 : x
  2. Step 2: Convert to fraction form
    51,824,019/113,410,878 = 113,410,878/x
  3. Step 3: Cross multiply
    51,824,019x = 113,410,878 × 113,410,878
  4. Step 4: Simplify right side
    51,824,019x = 12,862,027,248,730,884
  5. Step 5: Solve for x
    x = 12,862,027,248,730,884/51,824,019
  6. Step 6: Final answer
    x = 248,186,603.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.