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Finding the Third Proportional to 3,397,464 and 7,188,446.25

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Solution

The third proportional to 3,397,464 and 7,188,446.25 is: 15,209,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397,464 : 7,188,446.25 = 7,188,446.25 : x
  2. Step 2: Convert to fraction form
    3,397,464/7,188,446.25 = 7,188,446.25/x
  3. Step 3: Cross multiply
    3,397,464x = 7,188,446.25 × 7,188,446.25
  4. Step 4: Simplify right side
    3,397,464x = 51,673,759,489,139.06
  5. Step 5: Solve for x
    x = 51,673,759,489,139.06/3,397,464
  6. Step 6: Final answer
    x = 15,209,509.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.