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Finding the Third Proportional to 3,434,022 and 7,458,507

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Solution

The third proportional to 3,434,022 and 7,458,507 is: 16,199,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,022 : 7,458,507 = 7,458,507 : x
  2. Step 2: Convert to fraction form
    3,434,022/7,458,507 = 7,458,507/x
  3. Step 3: Cross multiply
    3,434,022x = 7,458,507 × 7,458,507
  4. Step 4: Simplify right side
    3,434,022x = 55,629,326,669,049
  5. Step 5: Solve for x
    x = 55,629,326,669,049/3,434,022
  6. Step 6: Final answer
    x = 16,199,467.18

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