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Finding the Third Proportional to 1,204,988,667 and 1,862,014,757

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Solution

The third proportional to 1,204,988,667 and 1,862,014,757 is: 2,877,287,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,988,667 : 1,862,014,757 = 1,862,014,757 : x
  2. Step 2: Convert to fraction form
    1,204,988,667/1,862,014,757 = 1,862,014,757/x
  3. Step 3: Cross multiply
    1,204,988,667x = 1,862,014,757 × 1,862,014,757
  4. Step 4: Simplify right side
    1,204,988,667x = 3,467,098,955,285,769,216
  5. Step 5: Solve for x
    x = 3,467,098,955,285,769,216/1,204,988,667
  6. Step 6: Final answer
    x = 2,877,287,604.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.