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Finding the Third Proportional to 8,369,948 and 11,846,736

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Solution

The third proportional to 8,369,948 and 11,846,736 is: 16,767,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,948 : 11,846,736 = 11,846,736 : x
  2. Step 2: Convert to fraction form
    8,369,948/11,846,736 = 11,846,736/x
  3. Step 3: Cross multiply
    8,369,948x = 11,846,736 × 11,846,736
  4. Step 4: Simplify right side
    8,369,948x = 140,345,153,853,696
  5. Step 5: Solve for x
    x = 140,345,153,853,696/8,369,948
  6. Step 6: Final answer
    x = 16,767,745.02

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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.