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Finding the Third Proportional to 2,624,204,142 and 5,783,304,651

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Solution

The third proportional to 2,624,204,142 and 5,783,304,651 is: 12,745,430,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624,204,142 : 5,783,304,651 = 5,783,304,651 : x
  2. Step 2: Convert to fraction form
    2,624,204,142/5,783,304,651 = 5,783,304,651/x
  3. Step 3: Cross multiply
    2,624,204,142x = 5,783,304,651 × 5,783,304,651
  4. Step 4: Simplify right side
    2,624,204,142x = 33,446,612,686,278,230,016
  5. Step 5: Solve for x
    x = 33,446,612,686,278,230,016/2,624,204,142
  6. Step 6: Final answer
    x = 12,745,430,948.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.