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Finding the Third Proportional to 9,772,422 and 21,059,517

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Solution

The third proportional to 9,772,422 and 21,059,517 is: 45,383,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772,422 : 21,059,517 = 21,059,517 : x
  2. Step 2: Convert to fraction form
    9,772,422/21,059,517 = 21,059,517/x
  3. Step 3: Cross multiply
    9,772,422x = 21,059,517 × 21,059,517
  4. Step 4: Simplify right side
    9,772,422x = 443,503,256,273,289
  5. Step 5: Solve for x
    x = 443,503,256,273,289/9,772,422
  6. Step 6: Final answer
    x = 45,383,146.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.