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Finding the Third Proportional to 8,369,946 and 11,846,734.50

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Solution

The third proportional to 8,369,946 and 11,846,734.50 is: 16,767,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369,946 : 11,846,734.50 = 11,846,734.50 : x
  2. Step 2: Convert to fraction form
    8,369,946/11,846,734.50 = 11,846,734.50/x
  3. Step 3: Cross multiply
    8,369,946x = 11,846,734.50 × 11,846,734.50
  4. Step 4: Simplify right side
    8,369,946x = 140,345,118,313,490.25
  5. Step 5: Solve for x
    x = 140,345,118,313,490.25/8,369,946
  6. Step 6: Final answer
    x = 16,767,744.78

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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.