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Finding the Third Proportional to 5,484,969 and 11,812,819.50

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Solution

The third proportional to 5,484,969 and 11,812,819.50 is: 25,440,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484,969 : 11,812,819.50 = 11,812,819.50 : x
  2. Step 2: Convert to fraction form
    5,484,969/11,812,819.50 = 11,812,819.50/x
  3. Step 3: Cross multiply
    5,484,969x = 11,812,819.50 × 11,812,819.50
  4. Step 4: Simplify right side
    5,484,969x = 139,542,704,539,580.25
  5. Step 5: Solve for x
    x = 139,542,704,539,580.25/5,484,969
  6. Step 6: Final answer
    x = 25,440,928.57

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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.