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Finding the Third Proportional to 5,297,969 and 11,442,611

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Solution

The third proportional to 5,297,969 and 11,442,611 is: 24,713,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297,969 : 11,442,611 = 11,442,611 : x
  2. Step 2: Convert to fraction form
    5,297,969/11,442,611 = 11,442,611/x
  3. Step 3: Cross multiply
    5,297,969x = 11,442,611 × 11,442,611
  4. Step 4: Simplify right side
    5,297,969x = 130,933,346,497,321
  5. Step 5: Solve for x
    x = 130,933,346,497,321/5,297,969
  6. Step 6: Final answer
    x = 24,713,875.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.