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Finding the Third Proportional to 252,529,614.56 and 542,653,759.13

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Solution

The third proportional to 252,529,614.56 and 542,653,759.13 is: 1,166,093,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,529,614.56 : 542,653,759.13 = 542,653,759.13 : x
  2. Step 2: Convert to fraction form
    252,529,614.56/542,653,759.13 = 542,653,759.13/x
  3. Step 3: Cross multiply
    252,529,614.56x = 542,653,759.13 × 542,653,759.13
  4. Step 4: Simplify right side
    252,529,614.56x = 294,473,102,292,493,504
  5. Step 5: Solve for x
    x = 294,473,102,292,493,504/252,529,614.56
  6. Step 6: Final answer
    x = 1,166,093,342.37

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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.