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Finding the Third Proportional to 132,667,971 and 287,066,946

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Solution

The third proportional to 132,667,971 and 287,066,946 is: 621,155,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,667,971 : 287,066,946 = 287,066,946 : x
  2. Step 2: Convert to fraction form
    132,667,971/287,066,946 = 287,066,946/x
  3. Step 3: Cross multiply
    132,667,971x = 287,066,946 × 287,066,946
  4. Step 4: Simplify right side
    132,667,971x = 82,407,431,485,766,912
  5. Step 5: Solve for x
    x = 82,407,431,485,766,912/132,667,971
  6. Step 6: Final answer
    x = 621,155,436.87

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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.