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Finding the Third Proportional to 8,369,829 and 11,846,558.25

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Solution

The third proportional to 8,369,829 and 11,846,558.25 is: 16,767,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,829 : 11,846,558.25 = 11,846,558.25 : x
  2. Step 2: Convert to fraction form
    8,369,829/11,846,558.25 = 11,846,558.25/x
  3. Step 3: Cross multiply
    8,369,829x = 11,846,558.25 × 11,846,558.25
  4. Step 4: Simplify right side
    8,369,829x = 140,340,942,370,643.06
  5. Step 5: Solve for x
    x = 140,340,942,370,643.06/8,369,829
  6. Step 6: Final answer
    x = 16,767,480.24

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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.