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Finding the Third Proportional to 2,940,689 and 6,369,916

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Solution

The third proportional to 2,940,689 and 6,369,916 is: 13,798,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940,689 : 6,369,916 = 6,369,916 : x
  2. Step 2: Convert to fraction form
    2,940,689/6,369,916 = 6,369,916/x
  3. Step 3: Cross multiply
    2,940,689x = 6,369,916 × 6,369,916
  4. Step 4: Simplify right side
    2,940,689x = 40,575,829,847,056
  5. Step 5: Solve for x
    x = 40,575,829,847,056/2,940,689
  6. Step 6: Final answer
    x = 13,798,069.04

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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.