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Finding the Third Proportional to 693,324,121 and 1,410,862,066

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Solution

The third proportional to 693,324,121 and 1,410,862,066 is: 2,870,997,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,324,121 : 1,410,862,066 = 1,410,862,066 : x
  2. Step 2: Convert to fraction form
    693,324,121/1,410,862,066 = 1,410,862,066/x
  3. Step 3: Cross multiply
    693,324,121x = 1,410,862,066 × 1,410,862,066
  4. Step 4: Simplify right side
    693,324,121x = 1,990,531,769,277,788,416
  5. Step 5: Solve for x
    x = 1,990,531,769,277,788,416/693,324,121
  6. Step 6: Final answer
    x = 2,870,997,429.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.