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Finding the Third Proportional to 5,031,646 and 11,051,772

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Solution

The third proportional to 5,031,646 and 11,051,772 is: 24,274,693.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031,646 : 11,051,772 = 11,051,772 : x
  2. Step 2: Convert to fraction form
    5,031,646/11,051,772 = 11,051,772/x
  3. Step 3: Cross multiply
    5,031,646x = 11,051,772 × 11,051,772
  4. Step 4: Simplify right side
    5,031,646x = 122,141,664,339,984
  5. Step 5: Solve for x
    x = 122,141,664,339,984/5,031,646
  6. Step 6: Final answer
    x = 24,274,693.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.