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Finding the Third Proportional to 1,079,661,841,900 and 2,248,686,659,682

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Solution

The third proportional to 1,079,661,841,900 and 2,248,686,659,682 is: 4,683,495,792,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,661,841,900 : 2,248,686,659,682 = 2,248,686,659,682 : x
  2. Step 2: Convert to fraction form
    1,079,661,841,900/2,248,686,659,682 = 2,248,686,659,682/x
  3. Step 3: Cross multiply
    1,079,661,841,900x = 2,248,686,659,682 × 2,248,686,659,682
  4. Step 4: Simplify right side
    1,079,661,841,900x = 5,056,591,693,431,790,960,115,712
  5. Step 5: Solve for x
    x = 5,056,591,693,431,790,960,115,712/1,079,661,841,900
  6. Step 6: Final answer
    x = 4,683,495,792,102.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.