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Finding the Third Proportional to 39,277,846 and 85,354,525

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Solution

The third proportional to 39,277,846 and 85,354,525 is: 185,483,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,846 : 85,354,525 = 85,354,525 : x
  2. Step 2: Convert to fraction form
    39,277,846/85,354,525 = 85,354,525/x
  3. Step 3: Cross multiply
    39,277,846x = 85,354,525 × 85,354,525
  4. Step 4: Simplify right side
    39,277,846x = 7,285,394,937,975,625
  5. Step 5: Solve for x
    x = 7,285,394,937,975,625/39,277,846
  6. Step 6: Final answer
    x = 185,483,565.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.