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Finding the Third Proportional to 7,879,402 and 16,974,593

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Solution

The third proportional to 7,879,402 and 16,974,593 is: 36,568,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,402 : 16,974,593 = 16,974,593 : x
  2. Step 2: Convert to fraction form
    7,879,402/16,974,593 = 16,974,593/x
  3. Step 3: Cross multiply
    7,879,402x = 16,974,593 × 16,974,593
  4. Step 4: Simplify right side
    7,879,402x = 288,136,807,515,649
  5. Step 5: Solve for x
    x = 288,136,807,515,649/7,879,402
  6. Step 6: Final answer
    x = 36,568,359.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.