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Finding the Third Proportional to 996,950,125 and 2,181,538,010

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Solution

The third proportional to 996,950,125 and 2,181,538,010 is: 4,773,667,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,950,125 : 2,181,538,010 = 2,181,538,010 : x
  2. Step 2: Convert to fraction form
    996,950,125/2,181,538,010 = 2,181,538,010/x
  3. Step 3: Cross multiply
    996,950,125x = 2,181,538,010 × 2,181,538,010
  4. Step 4: Simplify right side
    996,950,125x = 4,759,108,089,074,759,680
  5. Step 5: Solve for x
    x = 4,759,108,089,074,759,680/996,950,125
  6. Step 6: Final answer
    x = 4,773,667,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.