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Finding the Third Proportional to 27,410,814 and 60,948,933.75

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Solution

The third proportional to 27,410,814 and 60,948,933.75 is: 135,522,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410,814 : 60,948,933.75 = 60,948,933.75 : x
  2. Step 2: Convert to fraction form
    27,410,814/60,948,933.75 = 60,948,933.75/x
  3. Step 3: Cross multiply
    27,410,814x = 60,948,933.75 × 60,948,933.75
  4. Step 4: Simplify right side
    27,410,814x = 3,714,772,525,261,889
  5. Step 5: Solve for x
    x = 3,714,772,525,261,889/27,410,814
  6. Step 6: Final answer
    x = 135,522,152.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.