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Finding the Third Proportional to 36,284,387 and 78,340,834

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Solution

The third proportional to 36,284,387 and 78,340,834 is: 169,143,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284,387 : 78,340,834 = 78,340,834 : x
  2. Step 2: Convert to fraction form
    36,284,387/78,340,834 = 78,340,834/x
  3. Step 3: Cross multiply
    36,284,387x = 78,340,834 × 78,340,834
  4. Step 4: Simplify right side
    36,284,387x = 6,137,286,271,815,556
  5. Step 5: Solve for x
    x = 6,137,286,271,815,556/36,284,387
  6. Step 6: Final answer
    x = 169,143,997.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.