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Finding the Third Proportional to 122,464,729,864 and 170,277,418,033

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Solution

The third proportional to 122,464,729,864 and 170,277,418,033 is: 236,757,139,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,464,729,864 : 170,277,418,033 = 170,277,418,033 : x
  2. Step 2: Convert to fraction form
    122,464,729,864/170,277,418,033 = 170,277,418,033/x
  3. Step 3: Cross multiply
    122,464,729,864x = 170,277,418,033 × 170,277,418,033
  4. Step 4: Simplify right side
    122,464,729,864x = 28,994,399,091,985,035,034,624
  5. Step 5: Solve for x
    x = 28,994,399,091,985,035,034,624/122,464,729,864
  6. Step 6: Final answer
    x = 236,757,139,171.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.