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Finding the Third Proportional to 9,790,411 and 21,207,977

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Solution

The third proportional to 9,790,411 and 21,207,977 is: 45,940,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,411 : 21,207,977 = 21,207,977 : x
  2. Step 2: Convert to fraction form
    9,790,411/21,207,977 = 21,207,977/x
  3. Step 3: Cross multiply
    9,790,411x = 21,207,977 × 21,207,977
  4. Step 4: Simplify right side
    9,790,411x = 449,778,288,432,529
  5. Step 5: Solve for x
    x = 449,778,288,432,529/9,790,411
  6. Step 6: Final answer
    x = 45,940,695.28

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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.