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Finding the Third Proportional to 1,239,778,630 and 2,697,474,256

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Solution

The third proportional to 1,239,778,630 and 2,697,474,256 is: 5,869,085,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,778,630 : 2,697,474,256 = 2,697,474,256 : x
  2. Step 2: Convert to fraction form
    1,239,778,630/2,697,474,256 = 2,697,474,256/x
  3. Step 3: Cross multiply
    1,239,778,630x = 2,697,474,256 × 2,697,474,256
  4. Step 4: Simplify right side
    1,239,778,630x = 7,276,367,361,782,753,280
  5. Step 5: Solve for x
    x = 7,276,367,361,782,753,280/1,239,778,630
  6. Step 6: Final answer
    x = 5,869,085,968.83

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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.