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Finding the Third Proportional to 34,568,775 and 74,496,834

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Solution

The third proportional to 34,568,775 and 74,496,834 is: 160,543,099.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,568,775 : 74,496,834 = 74,496,834 : x
  2. Step 2: Convert to fraction form
    34,568,775/74,496,834 = 74,496,834/x
  3. Step 3: Cross multiply
    34,568,775x = 74,496,834 × 74,496,834
  4. Step 4: Simplify right side
    34,568,775x = 5,549,778,276,023,556
  5. Step 5: Solve for x
    x = 5,549,778,276,023,556/34,568,775
  6. Step 6: Final answer
    x = 160,543,099.26

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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.