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Finding the Third Proportional to 809,066,986 and 1,775,614,860

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Solution

The third proportional to 809,066,986 and 1,775,614,860 is: 3,896,844,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,066,986 : 1,775,614,860 = 1,775,614,860 : x
  2. Step 2: Convert to fraction form
    809,066,986/1,775,614,860 = 1,775,614,860/x
  3. Step 3: Cross multiply
    809,066,986x = 1,775,614,860 × 1,775,614,860
  4. Step 4: Simplify right side
    809,066,986x = 3,152,808,131,052,819,456
  5. Step 5: Solve for x
    x = 3,152,808,131,052,819,456/809,066,986
  6. Step 6: Final answer
    x = 3,896,844,372.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.