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Finding the Third Proportional to 6,519,291 and 14,160,495

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Solution

The third proportional to 6,519,291 and 14,160,495 is: 30,757,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,291 : 14,160,495 = 14,160,495 : x
  2. Step 2: Convert to fraction form
    6,519,291/14,160,495 = 14,160,495/x
  3. Step 3: Cross multiply
    6,519,291x = 14,160,495 × 14,160,495
  4. Step 4: Simplify right side
    6,519,291x = 200,519,618,645,025
  5. Step 5: Solve for x
    x = 200,519,618,645,025/6,519,291
  6. Step 6: Final answer
    x = 30,757,887.42

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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.