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Finding the Third Proportional to 9,228,267 and 19,876,509

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Solution

The third proportional to 9,228,267 and 19,876,509 is: 42,811,462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228,267 : 19,876,509 = 19,876,509 : x
  2. Step 2: Convert to fraction form
    9,228,267/19,876,509 = 19,876,509/x
  3. Step 3: Cross multiply
    9,228,267x = 19,876,509 × 19,876,509
  4. Step 4: Simplify right side
    9,228,267x = 395,075,610,027,081
  5. Step 5: Solve for x
    x = 395,075,610,027,081/9,228,267
  6. Step 6: Final answer
    x = 42,811,462.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.