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Finding the Third Proportional to 2,760,721 and 5,655,299

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Solution

The third proportional to 2,760,721 and 5,655,299 is: 11,584,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,721 : 5,655,299 = 5,655,299 : x
  2. Step 2: Convert to fraction form
    2,760,721/5,655,299 = 5,655,299/x
  3. Step 3: Cross multiply
    2,760,721x = 5,655,299 × 5,655,299
  4. Step 4: Simplify right side
    2,760,721x = 31,982,406,779,401
  5. Step 5: Solve for x
    x = 31,982,406,779,401/2,760,721
  6. Step 6: Final answer
    x = 11,584,802.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.