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Finding the Third Proportional to 2,443,361.50 and 5,211,213.50

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Solution

The third proportional to 2,443,361.50 and 5,211,213.50 is: 11,114,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443,361.50 : 5,211,213.50 = 5,211,213.50 : x
  2. Step 2: Convert to fraction form
    2,443,361.50/5,211,213.50 = 5,211,213.50/x
  3. Step 3: Cross multiply
    2,443,361.50x = 5,211,213.50 × 5,211,213.50
  4. Step 4: Simplify right side
    2,443,361.50x = 27,156,746,142,582.25
  5. Step 5: Solve for x
    x = 27,156,746,142,582.25/2,443,361.50
  6. Step 6: Final answer
    x = 11,114,501.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.