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Finding the Third Proportional to 4,131,417 and 8,948,904

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Solution

The third proportional to 4,131,417 and 8,948,904 is: 19,383,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131,417 : 8,948,904 = 8,948,904 : x
  2. Step 2: Convert to fraction form
    4,131,417/8,948,904 = 8,948,904/x
  3. Step 3: Cross multiply
    4,131,417x = 8,948,904 × 8,948,904
  4. Step 4: Simplify right side
    4,131,417x = 80,082,882,801,216
  5. Step 5: Solve for x
    x = 80,082,882,801,216/4,131,417
  6. Step 6: Final answer
    x = 19,383,877.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.