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Finding the Third Proportional to 7,750,644 and 16,685,823

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Solution

The third proportional to 7,750,644 and 16,685,823 is: 35,921,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,644 : 16,685,823 = 16,685,823 : x
  2. Step 2: Convert to fraction form
    7,750,644/16,685,823 = 16,685,823/x
  3. Step 3: Cross multiply
    7,750,644x = 16,685,823 × 16,685,823
  4. Step 4: Simplify right side
    7,750,644x = 278,416,689,187,329
  5. Step 5: Solve for x
    x = 278,416,689,187,329/7,750,644
  6. Step 6: Final answer
    x = 35,921,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.