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Finding the Third Proportional to 1,740,241,501.50 and 2,760,131,049

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Solution

The third proportional to 1,740,241,501.50 and 2,760,131,049 is: 4,377,739,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,241,501.50 : 2,760,131,049 = 2,760,131,049 : x
  2. Step 2: Convert to fraction form
    1,740,241,501.50/2,760,131,049 = 2,760,131,049/x
  3. Step 3: Cross multiply
    1,740,241,501.50x = 2,760,131,049 × 2,760,131,049
  4. Step 4: Simplify right side
    1,740,241,501.50x = 7,618,323,407,653,840,896
  5. Step 5: Solve for x
    x = 7,618,323,407,653,840,896/1,740,241,501.50
  6. Step 6: Final answer
    x = 4,377,739,182.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.