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Finding the Third Proportional to 3,458,106 and 7,514,232

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Solution

The third proportional to 3,458,106 and 7,514,232 is: 16,327,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458,106 : 7,514,232 = 7,514,232 : x
  2. Step 2: Convert to fraction form
    3,458,106/7,514,232 = 7,514,232/x
  3. Step 3: Cross multiply
    3,458,106x = 7,514,232 × 7,514,232
  4. Step 4: Simplify right side
    3,458,106x = 56,463,682,549,824
  5. Step 5: Solve for x
    x = 56,463,682,549,824/3,458,106
  6. Step 6: Final answer
    x = 16,327,921.28

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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.