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Finding the Third Proportional to 9,691,793 and 21,143,999

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Solution

The third proportional to 9,691,793 and 21,143,999 is: 46,128,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,793 : 21,143,999 = 21,143,999 : x
  2. Step 2: Convert to fraction form
    9,691,793/21,143,999 = 21,143,999/x
  3. Step 3: Cross multiply
    9,691,793x = 21,143,999 × 21,143,999
  4. Step 4: Simplify right side
    9,691,793x = 447,068,693,712,001
  5. Step 5: Solve for x
    x = 447,068,693,712,001/9,691,793
  6. Step 6: Final answer
    x = 46,128,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.