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Finding the Third Proportional to 39,277,851 and 85,354,535

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Solution

The third proportional to 39,277,851 and 85,354,535 is: 185,483,585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,277,851 : 85,354,535 = 85,354,535 : x
  2. Step 2: Convert to fraction form
    39,277,851/85,354,535 = 85,354,535/x
  3. Step 3: Cross multiply
    39,277,851x = 85,354,535 × 85,354,535
  4. Step 4: Simplify right side
    39,277,851x = 7,285,396,645,066,225
  5. Step 5: Solve for x
    x = 7,285,396,645,066,225/39,277,851
  6. Step 6: Final answer
    x = 185,483,585.78

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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.