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Finding the Third Proportional to 693,324,146 and 1,410,862,116

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Solution

The third proportional to 693,324,146 and 1,410,862,116 is: 2,870,997,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,324,146 : 1,410,862,116 = 1,410,862,116 : x
  2. Step 2: Convert to fraction form
    693,324,146/1,410,862,116 = 1,410,862,116/x
  3. Step 3: Cross multiply
    693,324,146x = 1,410,862,116 × 1,410,862,116
  4. Step 4: Simplify right side
    693,324,146x = 1,990,531,910,363,997,440
  5. Step 5: Solve for x
    x = 1,990,531,910,363,997,440/693,324,146
  6. Step 6: Final answer
    x = 2,870,997,529.58

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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.