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Finding the Third Proportional to 8,369,824.50 and 11,846,551.50

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Solution

The third proportional to 8,369,824.50 and 11,846,551.50 is: 16,767,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,824.50 : 11,846,551.50 = 11,846,551.50 : x
  2. Step 2: Convert to fraction form
    8,369,824.50/11,846,551.50 = 11,846,551.50/x
  3. Step 3: Cross multiply
    8,369,824.50x = 11,846,551.50 × 11,846,551.50
  4. Step 4: Simplify right side
    8,369,824.50x = 140,340,782,442,152.25
  5. Step 5: Solve for x
    x = 140,340,782,442,152.25/8,369,824.50
  6. Step 6: Final answer
    x = 16,767,470.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.