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Finding the Third Proportional to 3,414,256 and 7,458,464

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Solution

The third proportional to 3,414,256 and 7,458,464 is: 16,293,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,256 : 7,458,464 = 7,458,464 : x
  2. Step 2: Convert to fraction form
    3,414,256/7,458,464 = 7,458,464/x
  3. Step 3: Cross multiply
    3,414,256x = 7,458,464 × 7,458,464
  4. Step 4: Simplify right side
    3,414,256x = 55,628,685,239,296
  5. Step 5: Solve for x
    x = 55,628,685,239,296/3,414,256
  6. Step 6: Final answer
    x = 16,293,062.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.