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Finding the Third Proportional to 27,977,961 and 43,162,857

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Solution

The third proportional to 27,977,961 and 43,162,857 is: 66,589,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,977,961 : 43,162,857 = 43,162,857 : x
  2. Step 2: Convert to fraction form
    27,977,961/43,162,857 = 43,162,857/x
  3. Step 3: Cross multiply
    27,977,961x = 43,162,857 × 43,162,857
  4. Step 4: Simplify right side
    27,977,961x = 1,863,032,224,402,449
  5. Step 5: Solve for x
    x = 1,863,032,224,402,449/27,977,961
  6. Step 6: Final answer
    x = 66,589,278.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.