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Finding the Third Proportional to 35,062,647,030 and 75,090,016,812

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Solution

The third proportional to 35,062,647,030 and 75,090,016,812 is: 160,812,462,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,062,647,030 : 75,090,016,812 = 75,090,016,812 : x
  2. Step 2: Convert to fraction form
    35,062,647,030/75,090,016,812 = 75,090,016,812/x
  3. Step 3: Cross multiply
    35,062,647,030x = 75,090,016,812 × 75,090,016,812
  4. Step 4: Simplify right side
    35,062,647,030x = 5,638,510,624,826,442,383,360
  5. Step 5: Solve for x
    x = 5,638,510,624,826,442,383,360/35,062,647,030
  6. Step 6: Final answer
    x = 160,812,462,903.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.