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Finding the Third Proportional to 816,092,642.81 and 1,770,741,921.38

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Solution

The third proportional to 816,092,642.81 and 1,770,741,921.38 is: 3,842,121,332.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,092,642.81 : 1,770,741,921.38 = 1,770,741,921.38 : x
  2. Step 2: Convert to fraction form
    816,092,642.81/1,770,741,921.38 = 1,770,741,921.38/x
  3. Step 3: Cross multiply
    816,092,642.81x = 1,770,741,921.38 × 1,770,741,921.38
  4. Step 4: Simplify right side
    816,092,642.81x = 3,135,526,952,114,826,752
  5. Step 5: Solve for x
    x = 3,135,526,952,114,826,752/816,092,642.81
  6. Step 6: Final answer
    x = 3,842,121,332.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.