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Finding the Third Proportional to 3,284,928 and 7,023,828

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Solution

The third proportional to 3,284,928 and 7,023,828 is: 15,018,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284,928 : 7,023,828 = 7,023,828 : x
  2. Step 2: Convert to fraction form
    3,284,928/7,023,828 = 7,023,828/x
  3. Step 3: Cross multiply
    3,284,928x = 7,023,828 × 7,023,828
  4. Step 4: Simplify right side
    3,284,928x = 49,334,159,773,584
  5. Step 5: Solve for x
    x = 49,334,159,773,584/3,284,928
  6. Step 6: Final answer
    x = 15,018,338.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.