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Finding the Third Proportional to 8,361,280.69 and 12,219,330.94

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Solution

The third proportional to 8,361,280.69 and 12,219,330.94 is: 17,857,557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361,280.69 : 12,219,330.94 = 12,219,330.94 : x
  2. Step 2: Convert to fraction form
    8,361,280.69/12,219,330.94 = 12,219,330.94/x
  3. Step 3: Cross multiply
    8,361,280.69x = 12,219,330.94 × 12,219,330.94
  4. Step 4: Simplify right side
    8,361,280.69x = 149,312,048,560,144.62
  5. Step 5: Solve for x
    x = 149,312,048,560,144.62/8,361,280.69
  6. Step 6: Final answer
    x = 17,857,557.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.