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Finding the Third Proportional to 6,498,564 and 14,080,756

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Solution

The third proportional to 6,498,564 and 14,080,756 is: 30,509,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498,564 : 14,080,756 = 14,080,756 : x
  2. Step 2: Convert to fraction form
    6,498,564/14,080,756 = 14,080,756/x
  3. Step 3: Cross multiply
    6,498,564x = 14,080,756 × 14,080,756
  4. Step 4: Simplify right side
    6,498,564x = 198,267,689,531,536
  5. Step 5: Solve for x
    x = 198,267,689,531,536/6,498,564
  6. Step 6: Final answer
    x = 30,509,461.71

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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.