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Finding the Third Proportional to 180,266,427 and 389,269,062

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Solution

The third proportional to 180,266,427 and 389,269,062 is: 840,591,368.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,266,427 : 389,269,062 = 389,269,062 : x
  2. Step 2: Convert to fraction form
    180,266,427/389,269,062 = 389,269,062/x
  3. Step 3: Cross multiply
    180,266,427x = 389,269,062 × 389,269,062
  4. Step 4: Simplify right side
    180,266,427x = 151,530,402,630,359,840
  5. Step 5: Solve for x
    x = 151,530,402,630,359,840/180,266,427
  6. Step 6: Final answer
    x = 840,591,368.85

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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.