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Finding the Third Proportional to 6,724,183,108 and 14,715,054,916

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Solution

The third proportional to 6,724,183,108 and 14,715,054,916 is: 32,202,103,616.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,183,108 : 14,715,054,916 = 14,715,054,916 : x
  2. Step 2: Convert to fraction form
    6,724,183,108/14,715,054,916 = 14,715,054,916/x
  3. Step 3: Cross multiply
    6,724,183,108x = 14,715,054,916 × 14,715,054,916
  4. Step 4: Simplify right side
    6,724,183,108x = 216,532,841,180,895,772,672
  5. Step 5: Solve for x
    x = 216,532,841,180,895,772,672/6,724,183,108
  6. Step 6: Final answer
    x = 32,202,103,616.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.