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Finding the Third Proportional to 3,284,912 and 7,023,796

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Solution

The third proportional to 3,284,912 and 7,023,796 is: 15,018,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284,912 : 7,023,796 = 7,023,796 : x
  2. Step 2: Convert to fraction form
    3,284,912/7,023,796 = 7,023,796/x
  3. Step 3: Cross multiply
    3,284,912x = 7,023,796 × 7,023,796
  4. Step 4: Simplify right side
    3,284,912x = 49,333,710,249,616
  5. Step 5: Solve for x
    x = 49,333,710,249,616/3,284,912
  6. Step 6: Final answer
    x = 15,018,274.54

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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.