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Finding the Third Proportional to 8,494,778 and 18,341,920

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Solution

The third proportional to 8,494,778 and 18,341,920 is: 39,603,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,778 : 18,341,920 = 18,341,920 : x
  2. Step 2: Convert to fraction form
    8,494,778/18,341,920 = 18,341,920/x
  3. Step 3: Cross multiply
    8,494,778x = 18,341,920 × 18,341,920
  4. Step 4: Simplify right side
    8,494,778x = 336,426,029,286,400
  5. Step 5: Solve for x
    x = 336,426,029,286,400/8,494,778
  6. Step 6: Final answer
    x = 39,603,863.61

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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.