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Finding the Third Proportional to 5,497,636 and 11,149,928

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Solution

The third proportional to 5,497,636 and 11,149,928 is: 22,613,518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497,636 : 11,149,928 = 11,149,928 : x
  2. Step 2: Convert to fraction form
    5,497,636/11,149,928 = 11,149,928/x
  3. Step 3: Cross multiply
    5,497,636x = 11,149,928 × 11,149,928
  4. Step 4: Simplify right side
    5,497,636x = 124,320,894,405,184
  5. Step 5: Solve for x
    x = 124,320,894,405,184/5,497,636
  6. Step 6: Final answer
    x = 22,613,518.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.