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Finding the Third Proportional to 5,406,120 and 11,644,272

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Solution

The third proportional to 5,406,120 and 11,644,272 is: 25,080,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406,120 : 11,644,272 = 11,644,272 : x
  2. Step 2: Convert to fraction form
    5,406,120/11,644,272 = 11,644,272/x
  3. Step 3: Cross multiply
    5,406,120x = 11,644,272 × 11,644,272
  4. Step 4: Simplify right side
    5,406,120x = 135,589,070,409,984
  5. Step 5: Solve for x
    x = 135,589,070,409,984/5,406,120
  6. Step 6: Final answer
    x = 25,080,662.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.