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Finding the Third Proportional to 4,477,785 and 9,793,311

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Solution

The third proportional to 4,477,785 and 9,793,311 is: 21,418,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,785 : 9,793,311 = 9,793,311 : x
  2. Step 2: Convert to fraction form
    4,477,785/9,793,311 = 9,793,311/x
  3. Step 3: Cross multiply
    4,477,785x = 9,793,311 × 9,793,311
  4. Step 4: Simplify right side
    4,477,785x = 95,908,940,342,721
  5. Step 5: Solve for x
    x = 95,908,940,342,721/4,477,785
  6. Step 6: Final answer
    x = 21,418,835.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.