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Finding the Third Proportional to 4,238,049 and 9,282,276

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Solution

The third proportional to 4,238,049 and 9,282,276 is: 20,330,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238,049 : 9,282,276 = 9,282,276 : x
  2. Step 2: Convert to fraction form
    4,238,049/9,282,276 = 9,282,276/x
  3. Step 3: Cross multiply
    4,238,049x = 9,282,276 × 9,282,276
  4. Step 4: Simplify right side
    4,238,049x = 86,160,647,740,176
  5. Step 5: Solve for x
    x = 86,160,647,740,176/4,238,049
  6. Step 6: Final answer
    x = 20,330,262.28

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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.