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Finding the Third Proportional to 27,961,586 and 37,777,842

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Solution

The third proportional to 27,961,586 and 37,777,842 is: 51,040,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,961,586 : 37,777,842 = 37,777,842 : x
  2. Step 2: Convert to fraction form
    27,961,586/37,777,842 = 37,777,842/x
  3. Step 3: Cross multiply
    27,961,586x = 37,777,842 × 37,777,842
  4. Step 4: Simplify right side
    27,961,586x = 1,427,165,346,176,964
  5. Step 5: Solve for x
    x = 1,427,165,346,176,964/27,961,586
  6. Step 6: Final answer
    x = 51,040,214.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.