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Finding the Third Proportional to 9,033,856 and 19,377,920

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Solution

The third proportional to 9,033,856 and 19,377,920 is: 41,566,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033,856 : 19,377,920 = 19,377,920 : x
  2. Step 2: Convert to fraction form
    9,033,856/19,377,920 = 19,377,920/x
  3. Step 3: Cross multiply
    9,033,856x = 19,377,920 × 19,377,920
  4. Step 4: Simplify right side
    9,033,856x = 375,503,783,526,400
  5. Step 5: Solve for x
    x = 375,503,783,526,400/9,033,856
  6. Step 6: Final answer
    x = 41,566,279.51

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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.