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Finding the Third Proportional to 19,817,289 and 27,906,345

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Solution

The third proportional to 19,817,289 and 27,906,345 is: 39,297,206.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817,289 : 27,906,345 = 27,906,345 : x
  2. Step 2: Convert to fraction form
    19,817,289/27,906,345 = 27,906,345/x
  3. Step 3: Cross multiply
    19,817,289x = 27,906,345 × 27,906,345
  4. Step 4: Simplify right side
    19,817,289x = 778,764,091,259,025
  5. Step 5: Solve for x
    x = 778,764,091,259,025/19,817,289
  6. Step 6: Final answer
    x = 39,297,206.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.