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Finding the Third Proportional to 2,677,520,142 and 5,785,271,280

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Solution

The third proportional to 2,677,520,142 and 5,785,271,280 is: 12,500,135,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,520,142 : 5,785,271,280 = 5,785,271,280 : x
  2. Step 2: Convert to fraction form
    2,677,520,142/5,785,271,280 = 5,785,271,280/x
  3. Step 3: Cross multiply
    2,677,520,142x = 5,785,271,280 × 5,785,271,280
  4. Step 4: Simplify right side
    2,677,520,142x = 33,469,363,783,192,838,144
  5. Step 5: Solve for x
    x = 33,469,363,783,192,838,144/2,677,520,142
  6. Step 6: Final answer
    x = 12,500,135,202.79

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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.