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Finding the Third Proportional to 14,447,736 and 21,192,644.25

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Solution

The third proportional to 14,447,736 and 21,192,644.25 is: 31,086,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447,736 : 21,192,644.25 = 21,192,644.25 : x
  2. Step 2: Convert to fraction form
    14,447,736/21,192,644.25 = 21,192,644.25/x
  3. Step 3: Cross multiply
    14,447,736x = 21,192,644.25 × 21,192,644.25
  4. Step 4: Simplify right side
    14,447,736x = 449,128,170,307,058.06
  5. Step 5: Solve for x
    x = 449,128,170,307,058.06/14,447,736
  6. Step 6: Final answer
    x = 31,086,404.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.