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Finding the Third Proportional to 2,144,940,183 and 4,618,559,817

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Solution

The third proportional to 2,144,940,183 and 4,618,559,817 is: 9,944,843,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,940,183 : 4,618,559,817 = 4,618,559,817 : x
  2. Step 2: Convert to fraction form
    2,144,940,183/4,618,559,817 = 4,618,559,817/x
  3. Step 3: Cross multiply
    2,144,940,183x = 4,618,559,817 × 4,618,559,817
  4. Step 4: Simplify right side
    2,144,940,183x = 21,331,094,783,207,071,744
  5. Step 5: Solve for x
    x = 21,331,094,783,207,071,744/2,144,940,183
  6. Step 6: Final answer
    x = 9,944,843,661.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.