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Finding the Third Proportional to 5,227,472 and 11,255,896

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Solution

The third proportional to 5,227,472 and 11,255,896 is: 24,236,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227,472 : 11,255,896 = 11,255,896 : x
  2. Step 2: Convert to fraction form
    5,227,472/11,255,896 = 11,255,896/x
  3. Step 3: Cross multiply
    5,227,472x = 11,255,896 × 11,255,896
  4. Step 4: Simplify right side
    5,227,472x = 126,695,194,762,816
  5. Step 5: Solve for x
    x = 126,695,194,762,816/5,227,472
  6. Step 6: Final answer
    x = 24,236,417.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.