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Finding the Third Proportional to 83,672,629 and 180,789,962

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Solution

The third proportional to 83,672,629 and 180,789,962 is: 390,629,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,629 : 180,789,962 = 180,789,962 : x
  2. Step 2: Convert to fraction form
    83,672,629/180,789,962 = 180,789,962/x
  3. Step 3: Cross multiply
    83,672,629x = 180,789,962 × 180,789,962
  4. Step 4: Simplify right side
    83,672,629x = 32,685,010,359,961,444
  5. Step 5: Solve for x
    x = 32,685,010,359,961,444/83,672,629
  6. Step 6: Final answer
    x = 390,629,656.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.