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Finding the Third Proportional to 5,199,244.50 and 11,220,564

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Solution

The third proportional to 5,199,244.50 and 11,220,564 is: 24,215,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,244.50 : 11,220,564 = 11,220,564 : x
  2. Step 2: Convert to fraction form
    5,199,244.50/11,220,564 = 11,220,564/x
  3. Step 3: Cross multiply
    5,199,244.50x = 11,220,564 × 11,220,564
  4. Step 4: Simplify right side
    5,199,244.50x = 125,901,056,478,096
  5. Step 5: Solve for x
    x = 125,901,056,478,096/5,199,244.50
  6. Step 6: Final answer
    x = 24,215,259.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.