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Finding the Third Proportional to 6,149,266 and 14,235,853

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Solution

The third proportional to 6,149,266 and 14,235,853 is: 32,956,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,266 : 14,235,853 = 14,235,853 : x
  2. Step 2: Convert to fraction form
    6,149,266/14,235,853 = 14,235,853/x
  3. Step 3: Cross multiply
    6,149,266x = 14,235,853 × 14,235,853
  4. Step 4: Simplify right side
    6,149,266x = 202,659,510,637,609
  5. Step 5: Solve for x
    x = 202,659,510,637,609/6,149,266
  6. Step 6: Final answer
    x = 32,956,699.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.