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Finding the Third Proportional to 8,106,983 and 17,709,874

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Solution

The third proportional to 8,106,983 and 17,709,874 is: 38,687,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106,983 : 17,709,874 = 17,709,874 : x
  2. Step 2: Convert to fraction form
    8,106,983/17,709,874 = 17,709,874/x
  3. Step 3: Cross multiply
    8,106,983x = 17,709,874 × 17,709,874
  4. Step 4: Simplify right side
    8,106,983x = 313,639,637,095,876
  5. Step 5: Solve for x
    x = 313,639,637,095,876/8,106,983
  6. Step 6: Final answer
    x = 38,687,590.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.