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Finding the Third Proportional to 2,140,345,183 and 4,701,591,639

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Solution

The third proportional to 2,140,345,183 and 4,701,591,639 is: 10,327,756,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,345,183 : 4,701,591,639 = 4,701,591,639 : x
  2. Step 2: Convert to fraction form
    2,140,345,183/4,701,591,639 = 4,701,591,639/x
  3. Step 3: Cross multiply
    2,140,345,183x = 4,701,591,639 × 4,701,591,639
  4. Step 4: Simplify right side
    2,140,345,183x = 22,104,963,939,914,706,944
  5. Step 5: Solve for x
    x = 22,104,963,939,914,706,944/2,140,345,183
  6. Step 6: Final answer
    x = 10,327,756,529.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.