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Finding the Third Proportional to 3,173,850 and 7,491,023

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Solution

The third proportional to 3,173,850 and 7,491,023 is: 17,680,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173,850 : 7,491,023 = 7,491,023 : x
  2. Step 2: Convert to fraction form
    3,173,850/7,491,023 = 7,491,023/x
  3. Step 3: Cross multiply
    3,173,850x = 7,491,023 × 7,491,023
  4. Step 4: Simplify right side
    3,173,850x = 56,115,425,586,529
  5. Step 5: Solve for x
    x = 56,115,425,586,529/3,173,850
  6. Step 6: Final answer
    x = 17,680,553.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.