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Finding the Third Proportional to 2,543,678,616 and 3,839,701,230

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Solution

The third proportional to 2,543,678,616 and 3,839,701,230 is: 5,796,056,719.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,678,616 : 3,839,701,230 = 3,839,701,230 : x
  2. Step 2: Convert to fraction form
    2,543,678,616/3,839,701,230 = 3,839,701,230/x
  3. Step 3: Cross multiply
    2,543,678,616x = 3,839,701,230 × 3,839,701,230
  4. Step 4: Simplify right side
    2,543,678,616x = 14,743,305,535,663,513,600
  5. Step 5: Solve for x
    x = 14,743,305,535,663,513,600/2,543,678,616
  6. Step 6: Final answer
    x = 5,796,056,719.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.