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Finding the Third Proportional to 381,460,348 and 823,902,992

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Solution

The third proportional to 381,460,348 and 823,902,992 is: 1,779,519,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460,348 : 823,902,992 = 823,902,992 : x
  2. Step 2: Convert to fraction form
    381,460,348/823,902,992 = 823,902,992/x
  3. Step 3: Cross multiply
    381,460,348x = 823,902,992 × 823,902,992
  4. Step 4: Simplify right side
    381,460,348x = 678,816,140,226,552,064
  5. Step 5: Solve for x
    x = 678,816,140,226,552,064/381,460,348
  6. Step 6: Final answer
    x = 1,779,519,532.73

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Why These Related Problems?

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