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Finding the Third Proportional to 24,282,189,762 and 54,147,641,823

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Solution

The third proportional to 24,282,189,762 and 54,147,641,823 is: 120,745,581,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282,189,762 : 54,147,641,823 = 54,147,641,823 : x
  2. Step 2: Convert to fraction form
    24,282,189,762/54,147,641,823 = 54,147,641,823/x
  3. Step 3: Cross multiply
    24,282,189,762x = 54,147,641,823 × 54,147,641,823
  4. Step 4: Simplify right side
    24,282,189,762x = 2,931,967,114,991,898,722,304
  5. Step 5: Solve for x
    x = 2,931,967,114,991,898,722,304/24,282,189,762
  6. Step 6: Final answer
    x = 120,745,581,174.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.