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Finding the Third Proportional to 337,252,802 and 752,050,954

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Solution

The third proportional to 337,252,802 and 752,050,954 is: 1,677,022,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,252,802 : 752,050,954 = 752,050,954 : x
  2. Step 2: Convert to fraction form
    337,252,802/752,050,954 = 752,050,954/x
  3. Step 3: Cross multiply
    337,252,802x = 752,050,954 × 752,050,954
  4. Step 4: Simplify right side
    337,252,802x = 565,580,637,412,310,144
  5. Step 5: Solve for x
    x = 565,580,637,412,310,144/337,252,802
  6. Step 6: Final answer
    x = 1,677,022,797.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.