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Finding the Third Proportional to 5,754,749 and 12,605,914

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Solution

The third proportional to 5,754,749 and 12,605,914 is: 27,613,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754,749 : 12,605,914 = 12,605,914 : x
  2. Step 2: Convert to fraction form
    5,754,749/12,605,914 = 12,605,914/x
  3. Step 3: Cross multiply
    5,754,749x = 12,605,914 × 12,605,914
  4. Step 4: Simplify right side
    5,754,749x = 158,909,067,775,396
  5. Step 5: Solve for x
    x = 158,909,067,775,396/5,754,749
  6. Step 6: Final answer
    x = 27,613,553.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.