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Finding the Third Proportional to 5,451,574 and 11,805,893

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Solution

The third proportional to 5,451,574 and 11,805,893 is: 25,566,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451,574 : 11,805,893 = 11,805,893 : x
  2. Step 2: Convert to fraction form
    5,451,574/11,805,893 = 11,805,893/x
  3. Step 3: Cross multiply
    5,451,574x = 11,805,893 × 11,805,893
  4. Step 4: Simplify right side
    5,451,574x = 139,379,109,527,449
  5. Step 5: Solve for x
    x = 139,379,109,527,449/5,451,574
  6. Step 6: Final answer
    x = 25,566,764.67

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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.