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Finding the Third Proportional to 440,247,193 and 959,596,069

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Solution

The third proportional to 440,247,193 and 959,596,069 is: 2,091,608,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,247,193 : 959,596,069 = 959,596,069 : x
  2. Step 2: Convert to fraction form
    440,247,193/959,596,069 = 959,596,069/x
  3. Step 3: Cross multiply
    440,247,193x = 959,596,069 × 959,596,069
  4. Step 4: Simplify right side
    440,247,193x = 920,824,615,640,252,800
  5. Step 5: Solve for x
    x = 920,824,615,640,252,800/440,247,193
  6. Step 6: Final answer
    x = 2,091,608,147.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.