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Finding the Third Proportional to 38,017,990,654 and 79,164,702,272

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Solution

The third proportional to 38,017,990,654 and 79,164,702,272 is: 164,844,327,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017,990,654 : 79,164,702,272 = 79,164,702,272 : x
  2. Step 2: Convert to fraction form
    38,017,990,654/79,164,702,272 = 79,164,702,272/x
  3. Step 3: Cross multiply
    38,017,990,654x = 79,164,702,272 × 79,164,702,272
  4. Step 4: Simplify right side
    38,017,990,654x = 6,267,050,085,814,401,761,280
  5. Step 5: Solve for x
    x = 6,267,050,085,814,401,761,280/38,017,990,654
  6. Step 6: Final answer
    x = 164,844,327,067.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.