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Finding the Third Proportional to 5,182,336 and 11,384,960

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Solution

The third proportional to 5,182,336 and 11,384,960 is: 25,011,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,336 : 11,384,960 = 11,384,960 : x
  2. Step 2: Convert to fraction form
    5,182,336/11,384,960 = 11,384,960/x
  3. Step 3: Cross multiply
    5,182,336x = 11,384,960 × 11,384,960
  4. Step 4: Simplify right side
    5,182,336x = 129,617,314,201,600
  5. Step 5: Solve for x
    x = 129,617,314,201,600/5,182,336
  6. Step 6: Final answer
    x = 25,011,368.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.