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Finding the Third Proportional to 6,226,569 and 13,515,965

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Solution

The third proportional to 6,226,569 and 13,515,965 is: 29,339,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226,569 : 13,515,965 = 13,515,965 : x
  2. Step 2: Convert to fraction form
    6,226,569/13,515,965 = 13,515,965/x
  3. Step 3: Cross multiply
    6,226,569x = 13,515,965 × 13,515,965
  4. Step 4: Simplify right side
    6,226,569x = 182,681,309,881,225
  5. Step 5: Solve for x
    x = 182,681,309,881,225/6,226,569
  6. Step 6: Final answer
    x = 29,339,000.32

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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.