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Finding the Third Proportional to 7,883,635.50 and 16,997,823

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Solution

The third proportional to 7,883,635.50 and 16,997,823 is: 36,648,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883,635.50 : 16,997,823 = 16,997,823 : x
  2. Step 2: Convert to fraction form
    7,883,635.50/16,997,823 = 16,997,823/x
  3. Step 3: Cross multiply
    7,883,635.50x = 16,997,823 × 16,997,823
  4. Step 4: Simplify right side
    7,883,635.50x = 288,925,986,739,329
  5. Step 5: Solve for x
    x = 288,925,986,739,329/7,883,635.50
  6. Step 6: Final answer
    x = 36,648,826.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.