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Finding the Third Proportional to 5,786,896.50 and 12,571,065

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Solution

The third proportional to 5,786,896.50 and 12,571,065 is: 27,308,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,896.50 : 12,571,065 = 12,571,065 : x
  2. Step 2: Convert to fraction form
    5,786,896.50/12,571,065 = 12,571,065/x
  3. Step 3: Cross multiply
    5,786,896.50x = 12,571,065 × 12,571,065
  4. Step 4: Simplify right side
    5,786,896.50x = 158,031,675,234,225
  5. Step 5: Solve for x
    x = 158,031,675,234,225/5,786,896.50
  6. Step 6: Final answer
    x = 27,308,536.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.