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Finding the Third Proportional to 2,677,520,144 and 5,785,271,284

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Solution

The third proportional to 2,677,520,144 and 5,785,271,284 is: 12,500,135,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,520,144 : 5,785,271,284 = 5,785,271,284 : x
  2. Step 2: Convert to fraction form
    2,677,520,144/5,785,271,284 = 5,785,271,284/x
  3. Step 3: Cross multiply
    2,677,520,144x = 5,785,271,284 × 5,785,271,284
  4. Step 4: Simplify right side
    2,677,520,144x = 33,469,363,829,475,008,512
  5. Step 5: Solve for x
    x = 33,469,363,829,475,008,512/2,677,520,144
  6. Step 6: Final answer
    x = 12,500,135,210.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.