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Finding the Third Proportional to 27,149,772 and 37,977,219

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Solution

The third proportional to 27,149,772 and 37,977,219 is: 53,122,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149,772 : 37,977,219 = 37,977,219 : x
  2. Step 2: Convert to fraction form
    27,149,772/37,977,219 = 37,977,219/x
  3. Step 3: Cross multiply
    27,149,772x = 37,977,219 × 37,977,219
  4. Step 4: Simplify right side
    27,149,772x = 1,442,269,162,973,961
  5. Step 5: Solve for x
    x = 1,442,269,162,973,961/27,149,772
  6. Step 6: Final answer
    x = 53,122,698.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.