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Finding the Third Proportional to 7,355,916 and 11,416,530

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Solution

The third proportional to 7,355,916 and 11,416,530 is: 17,718,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355,916 : 11,416,530 = 11,416,530 : x
  2. Step 2: Convert to fraction form
    7,355,916/11,416,530 = 11,416,530/x
  3. Step 3: Cross multiply
    7,355,916x = 11,416,530 × 11,416,530
  4. Step 4: Simplify right side
    7,355,916x = 130,337,157,240,900
  5. Step 5: Solve for x
    x = 130,337,157,240,900/7,355,916
  6. Step 6: Final answer
    x = 17,718,684.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.