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Finding the Third Proportional to 9,790,414 and 21,207,982

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Solution

The third proportional to 9,790,414 and 21,207,982 is: 45,940,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,414 : 21,207,982 = 21,207,982 : x
  2. Step 2: Convert to fraction form
    9,790,414/21,207,982 = 21,207,982/x
  3. Step 3: Cross multiply
    9,790,414x = 21,207,982 × 21,207,982
  4. Step 4: Simplify right side
    9,790,414x = 449,778,500,512,324
  5. Step 5: Solve for x
    x = 449,778,500,512,324/9,790,414
  6. Step 6: Final answer
    x = 45,940,702.87

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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.