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Finding the Third Proportional to 83,047,536 and 181,735,061

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Solution

The third proportional to 83,047,536 and 181,735,061 is: 397,695,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,536 : 181,735,061 = 181,735,061 : x
  2. Step 2: Convert to fraction form
    83,047,536/181,735,061 = 181,735,061/x
  3. Step 3: Cross multiply
    83,047,536x = 181,735,061 × 181,735,061
  4. Step 4: Simplify right side
    83,047,536x = 33,027,632,396,673,720
  5. Step 5: Solve for x
    x = 33,027,632,396,673,720/83,047,536
  6. Step 6: Final answer
    x = 397,695,512.56

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