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Finding the Third Proportional to 27,149,770 and 37,977,216

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Solution

The third proportional to 27,149,770 and 37,977,216 is: 53,122,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149,770 : 37,977,216 = 37,977,216 : x
  2. Step 2: Convert to fraction form
    27,149,770/37,977,216 = 37,977,216/x
  3. Step 3: Cross multiply
    27,149,770x = 37,977,216 × 37,977,216
  4. Step 4: Simplify right side
    27,149,770x = 1,442,268,935,110,656
  5. Step 5: Solve for x
    x = 1,442,268,935,110,656/27,149,770
  6. Step 6: Final answer
    x = 53,122,694.41

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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.