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Finding the Third Proportional to 13,675,010 and 29,180,548

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Solution

The third proportional to 13,675,010 and 29,180,548 is: 62,267,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675,010 : 29,180,548 = 29,180,548 : x
  2. Step 2: Convert to fraction form
    13,675,010/29,180,548 = 29,180,548/x
  3. Step 3: Cross multiply
    13,675,010x = 29,180,548 × 29,180,548
  4. Step 4: Simplify right side
    13,675,010x = 851,504,381,580,304
  5. Step 5: Solve for x
    x = 851,504,381,580,304/13,675,010
  6. Step 6: Final answer
    x = 62,267,185.29

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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.