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Finding the Third Proportional to 39,277,849 and 85,354,531

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Solution

The third proportional to 39,277,849 and 85,354,531 is: 185,483,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,849 : 85,354,531 = 85,354,531 : x
  2. Step 2: Convert to fraction form
    39,277,849/85,354,531 = 85,354,531/x
  3. Step 3: Cross multiply
    39,277,849x = 85,354,531 × 85,354,531
  4. Step 4: Simplify right side
    39,277,849x = 7,285,395,962,229,961
  5. Step 5: Solve for x
    x = 7,285,395,962,229,961/39,277,849
  6. Step 6: Final answer
    x = 185,483,577.84

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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.