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Finding the Third Proportional to 8,413,844,040 and 17,994,810,312

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Solution

The third proportional to 8,413,844,040 and 17,994,810,312 is: 38,485,761,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413,844,040 : 17,994,810,312 = 17,994,810,312 : x
  2. Step 2: Convert to fraction form
    8,413,844,040/17,994,810,312 = 17,994,810,312/x
  3. Step 3: Cross multiply
    8,413,844,040x = 17,994,810,312 × 17,994,810,312
  4. Step 4: Simplify right side
    8,413,844,040x = 323,813,198,164,861,517,824
  5. Step 5: Solve for x
    x = 323,813,198,164,861,517,824/8,413,844,040
  6. Step 6: Final answer
    x = 38,485,761,873.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.