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Finding the Third Proportional to 6,519,299 and 14,160,511

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Solution

The third proportional to 6,519,299 and 14,160,511 is: 30,757,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519,299 : 14,160,511 = 14,160,511 : x
  2. Step 2: Convert to fraction form
    6,519,299/14,160,511 = 14,160,511/x
  3. Step 3: Cross multiply
    6,519,299x = 14,160,511 × 14,160,511
  4. Step 4: Simplify right side
    6,519,299x = 200,520,071,781,121
  5. Step 5: Solve for x
    x = 200,520,071,781,121/6,519,299
  6. Step 6: Final answer
    x = 30,757,919.18

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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.