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Finding the Third Proportional to 3,587,446 and 7,653,824

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Solution

The third proportional to 3,587,446 and 7,653,824 is: 16,329,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587,446 : 7,653,824 = 7,653,824 : x
  2. Step 2: Convert to fraction form
    3,587,446/7,653,824 = 7,653,824/x
  3. Step 3: Cross multiply
    3,587,446x = 7,653,824 × 7,653,824
  4. Step 4: Simplify right side
    3,587,446x = 58,581,021,822,976
  5. Step 5: Solve for x
    x = 58,581,021,822,976/3,587,446
  6. Step 6: Final answer
    x = 16,329,450.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.