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Finding the Third Proportional to 13,458,514 and 20,182,830

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Solution

The third proportional to 13,458,514 and 20,182,830 is: 30,266,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458,514 : 20,182,830 = 20,182,830 : x
  2. Step 2: Convert to fraction form
    13,458,514/20,182,830 = 20,182,830/x
  3. Step 3: Cross multiply
    13,458,514x = 20,182,830 × 20,182,830
  4. Step 4: Simplify right side
    13,458,514x = 407,346,626,808,900
  5. Step 5: Solve for x
    x = 407,346,626,808,900/13,458,514
  6. Step 6: Final answer
    x = 30,266,835.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.