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Finding the Third Proportional to 13,931,418,923 and 30,311,586,754

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Solution

The third proportional to 13,931,418,923 and 30,311,586,754 is: 65,951,092,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931,418,923 : 30,311,586,754 = 30,311,586,754 : x
  2. Step 2: Convert to fraction form
    13,931,418,923/30,311,586,754 = 30,311,586,754/x
  3. Step 3: Cross multiply
    13,931,418,923x = 30,311,586,754 × 30,311,586,754
  4. Step 4: Simplify right side
    13,931,418,923x = 918,792,291,545,268,224,000
  5. Step 5: Solve for x
    x = 918,792,291,545,268,224,000/13,931,418,923
  6. Step 6: Final answer
    x = 65,951,092,033.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.