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Finding the Third Proportional to 6,724,183,106 and 14,715,054,914

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Solution

The third proportional to 6,724,183,106 and 14,715,054,914 is: 32,202,103,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,183,106 : 14,715,054,914 = 14,715,054,914 : x
  2. Step 2: Convert to fraction form
    6,724,183,106/14,715,054,914 = 14,715,054,914/x
  3. Step 3: Cross multiply
    6,724,183,106x = 14,715,054,914 × 14,715,054,914
  4. Step 4: Simplify right side
    6,724,183,106x = 216,532,841,122,035,531,776
  5. Step 5: Solve for x
    x = 216,532,841,122,035,531,776/6,724,183,106
  6. Step 6: Final answer
    x = 32,202,103,617.44

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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.