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Finding the Third Proportional to 9,946,785 and 20,949,918

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Solution

The third proportional to 9,946,785 and 20,949,918 is: 44,124,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946,785 : 20,949,918 = 20,949,918 : x
  2. Step 2: Convert to fraction form
    9,946,785/20,949,918 = 20,949,918/x
  3. Step 3: Cross multiply
    9,946,785x = 20,949,918 × 20,949,918
  4. Step 4: Simplify right side
    9,946,785x = 438,899,064,206,724
  5. Step 5: Solve for x
    x = 438,899,064,206,724/9,946,785
  6. Step 6: Final answer
    x = 44,124,716.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.