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Finding the Third Proportional to 23,049,121,068 and 51,397,982,148.50

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Solution

The third proportional to 23,049,121,068 and 51,397,982,148.50 is: 114,614,026,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049,121,068 : 51,397,982,148.50 = 51,397,982,148.50 : x
  2. Step 2: Convert to fraction form
    23,049,121,068/51,397,982,148.50 = 51,397,982,148.50/x
  3. Step 3: Cross multiply
    23,049,121,068x = 51,397,982,148.50 × 51,397,982,148.50
  4. Step 4: Simplify right side
    23,049,121,068x = 2,641,752,568,937,524,494,336
  5. Step 5: Solve for x
    x = 2,641,752,568,937,524,494,336/23,049,121,068
  6. Step 6: Final answer
    x = 114,614,026,328.54

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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.