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Finding the Third Proportional to 5,384,000 and 11,524,666

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Solution

The third proportional to 5,384,000 and 11,524,666 is: 24,669,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384,000 : 11,524,666 = 11,524,666 : x
  2. Step 2: Convert to fraction form
    5,384,000/11,524,666 = 11,524,666/x
  3. Step 3: Cross multiply
    5,384,000x = 11,524,666 × 11,524,666
  4. Step 4: Simplify right side
    5,384,000x = 132,817,926,411,556
  5. Step 5: Solve for x
    x = 132,817,926,411,556/5,384,000
  6. Step 6: Final answer
    x = 24,669,005.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.