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Finding the Third Proportional to 8,706,487,170 and 17,778,413,286

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Solution

The third proportional to 8,706,487,170 and 17,778,413,286 is: 36,303,043,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706,487,170 : 17,778,413,286 = 17,778,413,286 : x
  2. Step 2: Convert to fraction form
    8,706,487,170/17,778,413,286 = 17,778,413,286/x
  3. Step 3: Cross multiply
    8,706,487,170x = 17,778,413,286 × 17,778,413,286
  4. Step 4: Simplify right side
    8,706,487,170x = 316,071,978,967,821,320,192
  5. Step 5: Solve for x
    x = 316,071,978,967,821,320,192/8,706,487,170
  6. Step 6: Final answer
    x = 36,303,043,098.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.