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Finding the Third Proportional to 3,433,929 and 7,458,351

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Solution

The third proportional to 3,433,929 and 7,458,351 is: 16,199,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,929 : 7,458,351 = 7,458,351 : x
  2. Step 2: Convert to fraction form
    3,433,929/7,458,351 = 7,458,351/x
  3. Step 3: Cross multiply
    3,433,929x = 7,458,351 × 7,458,351
  4. Step 4: Simplify right side
    3,433,929x = 55,626,999,639,201
  5. Step 5: Solve for x
    x = 55,626,999,639,201/3,433,929
  6. Step 6: Final answer
    x = 16,199,228.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.