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Finding the Third Proportional to 1,643,617,656 and 3,519,957,384

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Solution

The third proportional to 1,643,617,656 and 3,519,957,384 is: 7,538,310,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,617,656 : 3,519,957,384 = 3,519,957,384 : x
  2. Step 2: Convert to fraction form
    1,643,617,656/3,519,957,384 = 3,519,957,384/x
  3. Step 3: Cross multiply
    1,643,617,656x = 3,519,957,384 × 3,519,957,384
  4. Step 4: Simplify right side
    1,643,617,656x = 12,390,099,985,176,123,392
  5. Step 5: Solve for x
    x = 12,390,099,985,176,123,392/1,643,617,656
  6. Step 6: Final answer
    x = 7,538,310,348.48

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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.