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Finding the Third Proportional to 2,137,183,434 and 3,269,333,742

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Solution

The third proportional to 2,137,183,434 and 3,269,333,742 is: 5,001,228,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,183,434 : 3,269,333,742 = 3,269,333,742 : x
  2. Step 2: Convert to fraction form
    2,137,183,434/3,269,333,742 = 3,269,333,742/x
  3. Step 3: Cross multiply
    2,137,183,434x = 3,269,333,742 × 3,269,333,742
  4. Step 4: Simplify right side
    2,137,183,434x = 10,688,543,116,579,723,264
  5. Step 5: Solve for x
    x = 10,688,543,116,579,723,264/2,137,183,434
  6. Step 6: Final answer
    x = 5,001,228,694.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.