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Finding the Third Proportional to 13,974,795 and 29,629,206

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Solution

The third proportional to 13,974,795 and 29,629,206 is: 62,819,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,795 : 29,629,206 = 29,629,206 : x
  2. Step 2: Convert to fraction form
    13,974,795/29,629,206 = 29,629,206/x
  3. Step 3: Cross multiply
    13,974,795x = 29,629,206 × 29,629,206
  4. Step 4: Simplify right side
    13,974,795x = 877,889,848,190,436
  5. Step 5: Solve for x
    x = 877,889,848,190,436/13,974,795
  6. Step 6: Final answer
    x = 62,819,515.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.