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Finding the Third Proportional to 3,120,081,823,608 and 6,327,893,253,901

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Solution

The third proportional to 3,120,081,823,608 and 6,327,893,253,901 is: 12,833,712,478,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,081,823,608 : 6,327,893,253,901 = 6,327,893,253,901 : x
  2. Step 2: Convert to fraction form
    3,120,081,823,608/6,327,893,253,901 = 6,327,893,253,901/x
  3. Step 3: Cross multiply
    3,120,081,823,608x = 6,327,893,253,901 × 6,327,893,253,901
  4. Step 4: Simplify right side
    3,120,081,823,608x = 40,042,233,032,765,785,671,467,008
  5. Step 5: Solve for x
    x = 40,042,233,032,765,785,671,467,008/3,120,081,823,608
  6. Step 6: Final answer
    x = 12,833,712,478,239.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.