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Finding the Third Proportional to 27,654,909 and 39,837,978

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Solution

The third proportional to 27,654,909 and 39,837,978 is: 57,388,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654,909 : 39,837,978 = 39,837,978 : x
  2. Step 2: Convert to fraction form
    27,654,909/39,837,978 = 39,837,978/x
  3. Step 3: Cross multiply
    27,654,909x = 39,837,978 × 39,837,978
  4. Step 4: Simplify right side
    27,654,909x = 1,587,064,491,128,484
  5. Step 5: Solve for x
    x = 1,587,064,491,128,484/27,654,909
  6. Step 6: Final answer
    x = 57,388,165.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.