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Finding the Third Proportional to 381,460,344 and 823,902,984

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Solution

The third proportional to 381,460,344 and 823,902,984 is: 1,779,519,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,344 : 823,902,984 = 823,902,984 : x
  2. Step 2: Convert to fraction form
    381,460,344/823,902,984 = 823,902,984/x
  3. Step 3: Cross multiply
    381,460,344x = 823,902,984 × 823,902,984
  4. Step 4: Simplify right side
    381,460,344x = 678,816,127,044,104,192
  5. Step 5: Solve for x
    x = 678,816,127,044,104,192/381,460,344
  6. Step 6: Final answer
    x = 1,779,519,516.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.