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Finding the Third Proportional to 6,551,728 and 13,943,678

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Solution

The third proportional to 6,551,728 and 13,943,678 is: 29,675,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,728 : 13,943,678 = 13,943,678 : x
  2. Step 2: Convert to fraction form
    6,551,728/13,943,678 = 13,943,678/x
  3. Step 3: Cross multiply
    6,551,728x = 13,943,678 × 13,943,678
  4. Step 4: Simplify right side
    6,551,728x = 194,426,156,167,684
  5. Step 5: Solve for x
    x = 194,426,156,167,684/6,551,728
  6. Step 6: Final answer
    x = 29,675,553.71

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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.