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Finding the Third Proportional to 6,638,224 and 14,482,834

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Solution

The third proportional to 6,638,224 and 14,482,834 is: 31,597,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638,224 : 14,482,834 = 14,482,834 : x
  2. Step 2: Convert to fraction form
    6,638,224/14,482,834 = 14,482,834/x
  3. Step 3: Cross multiply
    6,638,224x = 14,482,834 × 14,482,834
  4. Step 4: Simplify right side
    6,638,224x = 209,752,480,671,556
  5. Step 5: Solve for x
    x = 209,752,480,671,556/6,638,224
  6. Step 6: Final answer
    x = 31,597,680.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.