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Finding the Third Proportional to 2,677,520,043 and 5,785,271,100

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Solution

The third proportional to 2,677,520,043 and 5,785,271,100 is: 12,500,134,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,520,043 : 5,785,271,100 = 5,785,271,100 : x
  2. Step 2: Convert to fraction form
    2,677,520,043/5,785,271,100 = 5,785,271,100/x
  3. Step 3: Cross multiply
    2,677,520,043x = 5,785,271,100 × 5,785,271,100
  4. Step 4: Simplify right side
    2,677,520,043x = 33,469,361,700,495,208,448
  5. Step 5: Solve for x
    x = 33,469,361,700,495,208,448/2,677,520,043
  6. Step 6: Final answer
    x = 12,500,134,887.13

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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.