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Finding the Third Proportional to 2,789,222,879.11 and 4,264,955,099.31

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Solution

The third proportional to 2,789,222,879.11 and 4,264,955,099.31 is: 6,521,473,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789,222,879.11 : 4,264,955,099.31 = 4,264,955,099.31 : x
  2. Step 2: Convert to fraction form
    2,789,222,879.11/4,264,955,099.31 = 4,264,955,099.31/x
  3. Step 3: Cross multiply
    2,789,222,879.11x = 4,264,955,099.31 × 4,264,955,099.31
  4. Step 4: Simplify right side
    2,789,222,879.11x = 18,189,841,999,169,609,728
  5. Step 5: Solve for x
    x = 18,189,841,999,169,609,728/2,789,222,879.11
  6. Step 6: Final answer
    x = 6,521,473,108.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.