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Finding the Third Proportional to 1,643,617,767 and 3,519,957,606

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Solution

The third proportional to 1,643,617,767 and 3,519,957,606 is: 7,538,310,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,617,767 : 3,519,957,606 = 3,519,957,606 : x
  2. Step 2: Convert to fraction form
    1,643,617,767/3,519,957,606 = 3,519,957,606/x
  3. Step 3: Cross multiply
    1,643,617,767x = 3,519,957,606 × 3,519,957,606
  4. Step 4: Simplify right side
    1,643,617,767x = 12,390,101,548,037,251,072
  5. Step 5: Solve for x
    x = 12,390,101,548,037,251,072/1,643,617,767
  6. Step 6: Final answer
    x = 7,538,310,790.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.