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Finding the Third Proportional to 1,003,365,299 and 2,160,494,182

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Solution

The third proportional to 1,003,365,299 and 2,160,494,182 is: 4,652,079,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,365,299 : 2,160,494,182 = 2,160,494,182 : x
  2. Step 2: Convert to fraction form
    1,003,365,299/2,160,494,182 = 2,160,494,182/x
  3. Step 3: Cross multiply
    1,003,365,299x = 2,160,494,182 × 2,160,494,182
  4. Step 4: Simplify right side
    1,003,365,299x = 4,667,735,110,455,848,960
  5. Step 5: Solve for x
    x = 4,667,735,110,455,848,960/1,003,365,299
  6. Step 6: Final answer
    x = 4,652,079,472.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.