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Finding the Third Proportional to 59,196,680,736 and 85,086,408,240

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Solution

The third proportional to 59,196,680,736 and 85,086,408,240 is: 122,299,033,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,196,680,736 : 85,086,408,240 = 85,086,408,240 : x
  2. Step 2: Convert to fraction form
    59,196,680,736/85,086,408,240 = 85,086,408,240/x
  3. Step 3: Cross multiply
    59,196,680,736x = 85,086,408,240 × 85,086,408,240
  4. Step 4: Simplify right side
    59,196,680,736x = 7,239,696,867,183,940,337,664
  5. Step 5: Solve for x
    x = 7,239,696,867,183,940,337,664/59,196,680,736
  6. Step 6: Final answer
    x = 122,299,033,952.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.