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Finding the Third Proportional to 13,682,857.50 and 29,747,304

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Solution

The third proportional to 13,682,857.50 and 29,747,304 is: 64,672,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682,857.50 : 29,747,304 = 29,747,304 : x
  2. Step 2: Convert to fraction form
    13,682,857.50/29,747,304 = 29,747,304/x
  3. Step 3: Cross multiply
    13,682,857.50x = 29,747,304 × 29,747,304
  4. Step 4: Simplify right side
    13,682,857.50x = 884,902,095,268,416
  5. Step 5: Solve for x
    x = 884,902,095,268,416/13,682,857.50
  6. Step 6: Final answer
    x = 64,672,316.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.