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Finding the Third Proportional to 23,286,783,145 and 50,653,651,472

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Solution

The third proportional to 23,286,783,145 and 50,653,651,472 is: 110,182,346,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,783,145 : 50,653,651,472 = 50,653,651,472 : x
  2. Step 2: Convert to fraction form
    23,286,783,145/50,653,651,472 = 50,653,651,472/x
  3. Step 3: Cross multiply
    23,286,783,145x = 50,653,651,472 × 50,653,651,472
  4. Step 4: Simplify right side
    23,286,783,145x = 2,565,792,407,446,847,750,144
  5. Step 5: Solve for x
    x = 2,565,792,407,446,847,750,144/23,286,783,145
  6. Step 6: Final answer
    x = 110,182,346,418.16

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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.