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Finding the Third Proportional to 2,411,299 and 5,201,201

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Solution

The third proportional to 2,411,299 and 5,201,201 is: 11,219,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,299 : 5,201,201 = 5,201,201 : x
  2. Step 2: Convert to fraction form
    2,411,299/5,201,201 = 5,201,201/x
  3. Step 3: Cross multiply
    2,411,299x = 5,201,201 × 5,201,201
  4. Step 4: Simplify right side
    2,411,299x = 27,052,491,842,401
  5. Step 5: Solve for x
    x = 27,052,491,842,401/2,411,299
  6. Step 6: Final answer
    x = 11,219,053.23

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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.