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Finding the Third Proportional to 2,141,232,419 and 3,273,406,529

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Solution

The third proportional to 2,141,232,419 and 3,273,406,529 is: 5,004,216,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,232,419 : 3,273,406,529 = 3,273,406,529 : x
  2. Step 2: Convert to fraction form
    2,141,232,419/3,273,406,529 = 3,273,406,529/x
  3. Step 3: Cross multiply
    2,141,232,419x = 3,273,406,529 × 3,273,406,529
  4. Step 4: Simplify right side
    2,141,232,419x = 10,715,190,304,099,827,712
  5. Step 5: Solve for x
    x = 10,715,190,304,099,827,712/2,141,232,419
  6. Step 6: Final answer
    x = 5,004,216,361.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.