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Finding the Third Proportional to 3,165,624 and 7,465,296

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Solution

The third proportional to 3,165,624 and 7,465,296 is: 17,604,947.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,624 : 7,465,296 = 7,465,296 : x
  2. Step 2: Convert to fraction form
    3,165,624/7,465,296 = 7,465,296/x
  3. Step 3: Cross multiply
    3,165,624x = 7,465,296 × 7,465,296
  4. Step 4: Simplify right side
    3,165,624x = 55,730,644,367,616
  5. Step 5: Solve for x
    x = 55,730,644,367,616/3,165,624
  6. Step 6: Final answer
    x = 17,604,947.51

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