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Finding the Third Proportional to 53,679,894,806 and 80,054,336,019

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Solution

The third proportional to 53,679,894,806 and 80,054,336,019 is: 119,387,281,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,679,894,806 : 80,054,336,019 = 80,054,336,019 : x
  2. Step 2: Convert to fraction form
    53,679,894,806/80,054,336,019 = 80,054,336,019/x
  3. Step 3: Cross multiply
    53,679,894,806x = 80,054,336,019 × 80,054,336,019
  4. Step 4: Simplify right side
    53,679,894,806x = 6,408,696,715,442,960,465,920
  5. Step 5: Solve for x
    x = 6,408,696,715,442,960,465,920/53,679,894,806
  6. Step 6: Final answer
    x = 119,387,281,562.38

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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.