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Finding the Third Proportional to 516,174,203.25 and 789,073,536.38

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Solution

The third proportional to 516,174,203.25 and 789,073,536.38 is: 1,206,253,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,174,203.25 : 789,073,536.38 = 789,073,536.38 : x
  2. Step 2: Convert to fraction form
    516,174,203.25/789,073,536.38 = 789,073,536.38/x
  3. Step 3: Cross multiply
    516,174,203.25x = 789,073,536.38 × 789,073,536.38
  4. Step 4: Simplify right side
    516,174,203.25x = 622,637,045,807,348,480
  5. Step 5: Solve for x
    x = 622,637,045,807,348,480/516,174,203.25
  6. Step 6: Final answer
    x = 1,206,253,706.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.