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Finding the Third Proportional to 6,337,824 and 13,685,664

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Solution

The third proportional to 6,337,824 and 13,685,664 is: 29,552,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,824 : 13,685,664 = 13,685,664 : x
  2. Step 2: Convert to fraction form
    6,337,824/13,685,664 = 13,685,664/x
  3. Step 3: Cross multiply
    6,337,824x = 13,685,664 × 13,685,664
  4. Step 4: Simplify right side
    6,337,824x = 187,297,399,120,896
  5. Step 5: Solve for x
    x = 187,297,399,120,896/6,337,824
  6. Step 6: Final answer
    x = 29,552,319.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.