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Finding the Third Proportional to 2,677,520,064 and 5,785,271,144

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Solution

The third proportional to 2,677,520,064 and 5,785,271,144 is: 12,500,134,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,520,064 : 5,785,271,144 = 5,785,271,144 : x
  2. Step 2: Convert to fraction form
    2,677,520,064/5,785,271,144 = 5,785,271,144/x
  3. Step 3: Cross multiply
    2,677,520,064x = 5,785,271,144 × 5,785,271,144
  4. Step 4: Simplify right side
    2,677,520,064x = 33,469,362,209,599,070,208
  5. Step 5: Solve for x
    x = 33,469,362,209,599,070,208/2,677,520,064
  6. Step 6: Final answer
    x = 12,500,134,979.23

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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.