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Finding the Third Proportional to 678,298,540 and 1,469,282,410

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Solution

The third proportional to 678,298,540 and 1,469,282,410 is: 3,182,655,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,298,540 : 1,469,282,410 = 1,469,282,410 : x
  2. Step 2: Convert to fraction form
    678,298,540/1,469,282,410 = 1,469,282,410/x
  3. Step 3: Cross multiply
    678,298,540x = 1,469,282,410 × 1,469,282,410
  4. Step 4: Simplify right side
    678,298,540x = 2,158,790,800,335,408,128
  5. Step 5: Solve for x
    x = 2,158,790,800,335,408,128/678,298,540
  6. Step 6: Final answer
    x = 3,182,655,826.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.