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Finding the Third Proportional to 5,182,352 and 11,384,992

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Solution

The third proportional to 5,182,352 and 11,384,992 is: 25,011,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,352 : 11,384,992 = 11,384,992 : x
  2. Step 2: Convert to fraction form
    5,182,352/11,384,992 = 11,384,992/x
  3. Step 3: Cross multiply
    5,182,352x = 11,384,992 × 11,384,992
  4. Step 4: Simplify right side
    5,182,352x = 129,618,042,840,064
  5. Step 5: Solve for x
    x = 129,618,042,840,064/5,182,352
  6. Step 6: Final answer
    x = 25,011,431.65

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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.