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Finding the Third Proportional to 6,994,296 and 11,121,588

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Solution

The third proportional to 6,994,296 and 11,121,588 is: 17,684,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994,296 : 11,121,588 = 11,121,588 : x
  2. Step 2: Convert to fraction form
    6,994,296/11,121,588 = 11,121,588/x
  3. Step 3: Cross multiply
    6,994,296x = 11,121,588 × 11,121,588
  4. Step 4: Simplify right side
    6,994,296x = 123,689,719,641,744
  5. Step 5: Solve for x
    x = 123,689,719,641,744/6,994,296
  6. Step 6: Final answer
    x = 17,684,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.