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Finding the Third Proportional to 27,149,766 and 37,977,210

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Solution

The third proportional to 27,149,766 and 37,977,210 is: 53,122,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149,766 : 37,977,210 = 37,977,210 : x
  2. Step 2: Convert to fraction form
    27,149,766/37,977,210 = 37,977,210/x
  3. Step 3: Cross multiply
    27,149,766x = 37,977,210 × 37,977,210
  4. Step 4: Simplify right side
    27,149,766x = 1,442,268,479,384,100
  5. Step 5: Solve for x
    x = 1,442,268,479,384,100/27,149,766
  6. Step 6: Final answer
    x = 53,122,685.45

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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.