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Finding the Third Proportional to 5,811,225 and 12,668,778

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Solution

The third proportional to 5,811,225 and 12,668,778 is: 27,618,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811,225 : 12,668,778 = 12,668,778 : x
  2. Step 2: Convert to fraction form
    5,811,225/12,668,778 = 12,668,778/x
  3. Step 3: Cross multiply
    5,811,225x = 12,668,778 × 12,668,778
  4. Step 4: Simplify right side
    5,811,225x = 160,497,936,013,284
  5. Step 5: Solve for x
    x = 160,497,936,013,284/5,811,225
  6. Step 6: Final answer
    x = 27,618,606.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.