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Finding the Third Proportional to 1,271,151,843.89 and 2,693,520,784.27

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Solution

The third proportional to 1,271,151,843.89 and 2,693,520,784.27 is: 5,707,464,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,151,843.89 : 2,693,520,784.27 = 2,693,520,784.27 : x
  2. Step 2: Convert to fraction form
    1,271,151,843.89/2,693,520,784.27 = 2,693,520,784.27/x
  3. Step 3: Cross multiply
    1,271,151,843.89x = 2,693,520,784.27 × 2,693,520,784.27
  4. Step 4: Simplify right side
    1,271,151,843.89x = 7,255,054,215,270,773,760
  5. Step 5: Solve for x
    x = 7,255,054,215,270,773,760/1,271,151,843.89
  6. Step 6: Final answer
    x = 5,707,464,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.