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Finding the Third Proportional to 53,679,894,804 and 80,054,336,016

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Solution

The third proportional to 53,679,894,804 and 80,054,336,016 is: 119,387,281,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,679,894,804 : 80,054,336,016 = 80,054,336,016 : x
  2. Step 2: Convert to fraction form
    53,679,894,804/80,054,336,016 = 80,054,336,016/x
  3. Step 3: Cross multiply
    53,679,894,804x = 80,054,336,016 × 80,054,336,016
  4. Step 4: Simplify right side
    53,679,894,804x = 6,408,696,714,962,635,063,296
  5. Step 5: Solve for x
    x = 6,408,696,714,962,635,063,296/53,679,894,804
  6. Step 6: Final answer
    x = 119,387,281,557.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.