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Finding the Third Proportional to 13,671,400 and 29,504,376

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Solution

The third proportional to 13,671,400 and 29,504,376 is: 63,673,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671,400 : 29,504,376 = 29,504,376 : x
  2. Step 2: Convert to fraction form
    13,671,400/29,504,376 = 29,504,376/x
  3. Step 3: Cross multiply
    13,671,400x = 29,504,376 × 29,504,376
  4. Step 4: Simplify right side
    13,671,400x = 870,508,203,149,376
  5. Step 5: Solve for x
    x = 870,508,203,149,376/13,671,400
  6. Step 6: Final answer
    x = 63,673,669.35

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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.